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

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


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

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

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

Multiply (5 + 8m) * (-8 + 7m)
(5(-8 + 7m) + 8m * (-8 + 7m)) = 0
((-8 * 5 + 7m * 5) + 8m * (-8 + 7m)) = 0
((-40 + 35m) + 8m * (-8 + 7m)) = 0
(-40 + 35m + (-8 * 8m + 7m * 8m)) = 0
(-40 + 35m + (-64m + 56m2)) = 0

Combine like terms: 35m + -64m = -29m
(-40 + -29m + 56m2) = 0

Solving
-40 + -29m + 56m2 = 0

Solving for variable 'm'.

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


Subproblem 1
Set the factor '(-5 + -8m)' equal to zero and attempt to solve:

Simplifying
-5 + -8m = 0

Solving
-5 + -8m = 0

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

Add '5' to each side of the equation.
-5 + 5 + -8m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -8m = 0 + 5
-8m = 0 + 5

Combine like terms: 0 + 5 = 5
-8m = 5

Divide each side by '-8'.
m = -0.625

Simplifying
m = -0.625

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 = {-0.625, 1.142857143}

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