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

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


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

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

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

Multiply (-8 + 5m) * (-7 + 5m)
(-8(-7 + 5m) + 5m * (-7 + 5m)) = 0
((-7 * -8 + 5m * -8) + 5m * (-7 + 5m)) = 0
((56 + -40m) + 5m * (-7 + 5m)) = 0
(56 + -40m + (-7 * 5m + 5m * 5m)) = 0
(56 + -40m + (-35m + 25m2)) = 0

Combine like terms: -40m + -35m = -75m
(56 + -75m + 25m2) = 0

Solving
56 + -75m + 25m2 = 0

Solving for variable 'm'.

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


Subproblem 1
Set the factor '(7 + -5m)' equal to zero and attempt to solve:

Simplifying
7 + -5m = 0

Solving
7 + -5m = 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 + -5m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5m = 0 + -7
-5m = 0 + -7

Combine like terms: 0 + -7 = -7
-5m = -7

Divide each side by '-5'.
m = 1.4

Simplifying
m = 1.4

Subproblem 2
Set the factor '(8 + -5m)' equal to zero and attempt to solve:

Simplifying
8 + -5m = 0

Solving
8 + -5m = 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 + -5m = 0 + -8

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

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

Divide each side by '-5'.
m = 1.6

Simplifying
m = 1.6
Solution
m = {1.4, 1.6}

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