Solve for m 3/4m-51/2m=1

Math
34m-512m=1
Simplify 34m-512m.
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Simplify each term.
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Combine 34 and m.
3m4-512m=1
Combine m and 512.
3m4-m⋅512=1
Move 51 to the left of m.
3m4-51m2=1
3m4-51m2=1
To write -51m2 as a fraction with a common denominator, multiply by 22.
3m4-51m2⋅22=1
Write each expression with a common denominator of 4, by multiplying each by an appropriate factor of 1.
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Multiply 51m2 and 22.
3m4-51m⋅22⋅2=1
Multiply 2 by 2.
3m4-51m⋅24=1
3m4-51m⋅24=1
Combine the numerators over the common denominator.
3m-51m⋅24=1
Simplify the numerator.
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Factor 3m out of 3m-51m⋅2.
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Factor 3m out of 3m.
3m(1)-51m⋅24=1
Factor 3m out of -51m⋅2.
3m(1)+3m(-17⋅2)4=1
Factor 3m out of 3m(1)+3m(-17⋅2).
3m(1-17⋅2)4=1
3m(1-17⋅2)4=1
Multiply -17 by 2.
3m(1-34)4=1
Subtract 34 from 1.
3m⋅-334=1
3m⋅-334=1
Simplify the expression.
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Multiply -33 by 3.
-99m4=1
Move the negative in front of the fraction.
-99m4=1
-99m4=1
-99m4=1
Multiply both sides of the equation by -499.
-499⋅(-99m4)=-499⋅1
Simplify both sides of the equation.
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Simplify -499⋅(-99m4).
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Cancel the common factor of 4.
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Move the leading negative in -499 into the numerator.
-499⋅(-99m4)=-499⋅1
Move the leading negative in -99m4 into the numerator.
-499⋅-99m4=-499⋅1
Factor 4 out of -4.
4(-1)99⋅-99m4=-499⋅1
Cancel the common factor.
4⋅-199⋅-99m4=-499⋅1
Rewrite the expression.
-199⋅(-99m)=-499⋅1
-199⋅(-99m)=-499⋅1
Cancel the common factor of 99.
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Factor 99 out of -99m.
-199⋅(99(-m))=-499⋅1
Cancel the common factor.
-199⋅(99(-m))=-499⋅1
Rewrite the expression.
-1⋅(-m)=-499⋅1
-1⋅(-m)=-499⋅1
Multiply.
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Multiply -1 by -1.
1⋅m=-499⋅1
Multiply m by 1.
m=-499⋅1
m=-499⋅1
m=-499⋅1
Multiply -1 by 1.
m=-499
m=-499
The result can be shown in multiple forms.
Exact Form:
m=-499
Decimal Form:
m=-0.04‾
Solve for m 3/4m-51/2m=1

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