(7m-8)(5m+5)=

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Solution for (7m-8)(5m+5)= equation: 


Simplifying
(7m + -8)(5m + 5) = 0

Reorder the terms:
(-8 + 7m)(5m + 5) = 0

Reorder the terms:
(-8 + 7m)(5 + 5m) = 0

Multiply (-8 + 7m) * (5 + 5m)
(-8(5 + 5m) + 7m * (5 + 5m)) = 0
((5 * -8 + 5m * -8) + 7m * (5 + 5m)) = 0
((-40 + -40m) + 7m * (5 + 5m)) = 0
(-40 + -40m + (5 * 7m + 5m * 7m)) = 0
(-40 + -40m + (35m + 35m2)) = 0

Combine like terms: -40m + 35m = -5m
(-40 + -5m + 35m2) = 0

Solving
-40 + -5m + 35m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-8 + -1m + 7m2) = 0

Factor a trinomial.
5((-1 + -1m)(8 + -7m)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-1 + -1m)' equal to zero and attempt to solve:

Simplifying
-1 + -1m = 0

Solving
-1 + -1m = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1m = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1m = 0 + 1
-1m = 0 + 1

Combine like terms: 0 + 1 = 1
-1m = 1

Divide each side by '-1'.
m = -1

Simplifying
m = -1

Subproblem 2
Set the factor '(8 + -7m)' equal to zero and attempt to solve:

Simplifying
8 + -7m = 0

Solving
8 + -7m = 0

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

Add '-8' to each side of the equation.
8 + -8 + -7m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7m = 0 + -8
-7m = 0 + -8

Combine like terms: 0 + -8 = -8
-7m = -8

Divide each side by '-7'.
m = 1.142857143

Simplifying
m = 1.142857143
Solution
m = {-1, 1.142857143}

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