# Solve for c 1.92=c(0.25+(0.72*200*(4p*10^-7)*0.172)/(10.5*10^-2)) 1.92=c(0.25+0.72⋅200⋅(4p⋅10-7)⋅0.17210.5⋅10-2)
Rewrite the equation as c(0.25+0.72⋅200⋅(4p⋅10-7)⋅0.17210.5⋅10-2)=1.92.
c(0.25+0.72⋅200⋅(4p⋅10-7)⋅0.17210.5⋅10-2)=1.92
Simplify.
Multiply 0.72 by 200.
c(0.25+144⋅(4p⋅10-7)⋅0.17210.5⋅10-2)=1.92
Write 10.5⋅10-2 in proper scientific notation.
c(0.25+144⋅(4p⋅10-7)⋅0.1721.05⋅10-1)=1.92
Convert 1.05⋅10-1 from scientific notation.
c(0.25+144⋅(4p⋅10-7)⋅0.1720.105)=1.92
Multiply 4 by 144.
c(0.25+576⋅(p⋅10-7)⋅0.1720.105)=1.92
Multiply 0.172 by 576.
c(0.25+99.072⋅(p⋅10-7)0.105)=1.92
c(0.25+99.072⋅(p⋅10-7)0.105)=1.92
Divide each term by 0.25+99.072(p⋅10-7)0.105 and simplify.
Divide each term in c(0.25+99.072⋅(p⋅10-7)0.105)=1.92 by 0.25+99.072(p⋅10-7)0.105.
c(0.25+99.072⋅(p⋅10-7)0.105)0.25+99.072(p⋅10-7)0.105=1.920.25+99.072(p⋅10-7)0.105
Cancel the common factor of 0.25+99.072(p⋅10-7)0.105.
c=1.920.25+99.072(p⋅10-7)0.105
Simplify 1.920.25+99.072(p⋅10-7)0.105.
Simplify the numerator.
Rewrite the expression using the negative exponent rule b-n=1bn.
c=1.920.25+99.072p⋅11070.105
Raise 10 to the power of 7.
c=1.920.25+99.072p⋅1100000000.105
c=1.920.25+99.072p⋅1100000000.105
Simplify the numerator.
Combine 99.072 and 110000000.
c=1.920.25+p99.072100000000.105
Combine p and 99.07210000000.
c=1.920.25+p⋅99.072100000000.105
c=1.920.25+p⋅99.072100000000.105
Simplify the numerator.
Move 99.072 to the left of p.
c=1.920.25+99.072⋅p100000000.105
Factor 99.072 out of 99.072⋅p.
c=1.920.25+99.072(p)100000000.105
Factor 10000000 out of 10000000.
c=1.920.25+99.072(p)10000000(1)0.105
Separate fractions.
c=1.920.25+99.07210000000⋅p10.105
Divide 99.072 by 10000000.
c=1.920.25+0.0000099p10.105
Divide p by 1.
c=1.920.25+0.0000099p0.105
c=1.920.25+0.0000099p0.105
Simplify the denominator.
Factor 0.00000002 out of 0.25+0.0000099p0.105.
Factor 0.00000002 out of 0.25.
c=1.920.00000002(9765625)+0.0000099p0.105
Factor 0.00000002 out of 0.0000099p0.105.
c=1.920.00000002(9765625)+0.00000002387p0.105
Factor 0.00000002 out of 0.00000002(9765625)+0.00000002387p0.105.
c=1.920.00000002(9765625+387p0.105)
c=1.920.00000002(9765625+387p0.105)
Simplify each term.
Factor 387 out of 387p.
c=1.920.00000002(9765625+387(p)0.105)
Factor 0.105 out of 0.105.
c=1.920.00000002(9765625+387(p)0.105(1))
Separate fractions.
c=1.920.00000002(9765625+3870.105⋅p1)
Divide 387 by 0.105.
c=1.920.00000002(9765625+3685.714285‾p1)
Divide p by 1.
c=1.920.00000002(9765625+3685.714285‾p)
c=1.920.00000002(9765625+3685.714285‾p)
c=1.920.00000002(9765625+3685.714285‾p)
Factor 1.92 out of 1.92.
c=1.92(1)0.00000002(9765625+3685.714285‾p)
Separate fractions.
c=1.920.00000002⋅19765625+3685.714285‾p
Divide 1.92 by 0.00000002.
c=7500000019765625+3685.714285‾p
Combine 75000000 and 19765625+3685.714285‾p.
c=750000009765625+3685.714285‾p
c=750000009765625+3685.714285‾p
c=750000009765625+3685.714285‾p
Solve for c 1.92=c(0.25+(0.72*200*(4p*10^-7)*0.172)/(10.5*10^-2))

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