5m^2-7(m+4m)=

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Solution for 5m^2-7(m+4m)= equation: 


Simplifying
5m2 + -7(m + 4m) = 0

Combine like terms: m + 4m = 5m
5m2 + -7(5m) = 0

Remove parenthesis around (5m)
5m2 + -7 * 5m = 0

Multiply -7 * 5
5m2 + -35m = 0

Reorder the terms:
-35m + 5m2 = 0

Solving
-35m + 5m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '5m'.
5m(-7 + m) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

Move all terms containing m to the left, all other terms to the right.

Simplifying
m = 0

Subproblem 2
Set the factor '(-7 + m)' equal to zero and attempt to solve:

Simplifying
-7 + m = 0

Solving
-7 + m = 0

Move all terms containing m to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + m = 0 + 7

Combine like terms: -7 + 7 = 0
0 + m = 0 + 7
m = 0 + 7

Combine like terms: 0 + 7 = 7
m = 7

Simplifying
m = 7
Solution
m = {0, 7}

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