Solve for p (-2 1/2)p=-3

Math
(-212)p=-3
Simplify (-212)p.
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Convert 212 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
-(2+12)p=-3
Add 2 and 12.
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To write 2 as a fraction with a common denominator, multiply by 22.
-(2⋅22+12)p=-3
Combine 2 and 22.
-(2⋅22+12)p=-3
Combine the numerators over the common denominator.
-2⋅2+12p=-3
Simplify the numerator.
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Multiply 2 by 2.
-4+12p=-3
Add 4 and 1.
-52p=-3
-52p=-3
-52p=-3
-52p=-3
Combine p and 52.
-p⋅52=-3
Move 5 to the left of p.
-5p2=-3
-5p2=-3
Multiply both sides of the equation by -25.
-25⋅(-5p2)=-25⋅-3
Simplify both sides of the equation.
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Simplify -25⋅(-5p2).
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Cancel the common factor of 2.
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Move the leading negative in -25 into the numerator.
-25⋅(-5p2)=-25⋅-3
Move the leading negative in -5p2 into the numerator.
-25⋅-5p2=-25⋅-3
Factor 2 out of -2.
2(-1)5⋅-5p2=-25⋅-3
Cancel the common factor.
2⋅-15⋅-5p2=-25⋅-3
Rewrite the expression.
-15⋅(-5p)=-25⋅-3
-15⋅(-5p)=-25⋅-3
Cancel the common factor of 5.
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Factor 5 out of -5p.
-15⋅(5(-p))=-25⋅-3
Cancel the common factor.
-15⋅(5(-p))=-25⋅-3
Rewrite the expression.
-1⋅(-p)=-25⋅-3
-1⋅(-p)=-25⋅-3
Multiply.
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Multiply -1 by -1.
1⋅p=-25⋅-3
Multiply p by 1.
p=-25⋅-3
p=-25⋅-3
p=-25⋅-3
Multiply -25⋅-3.
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Multiply -3 by -1.
p=3(25)
Combine 3 and 25.
p=3⋅25
Multiply 3 by 2.
p=65
p=65
p=65
The result can be shown in multiple forms.
Exact Form:
p=65
Decimal Form:
p=1.2
Mixed Number Form:
p=115
Solve for p (-2 1/2)p=-3

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