(6m-5)(5m+8)=

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Solution for (6m-5)(5m+8)= equation: 


Simplifying
(6m + -5)(5m + 8) = 0

Reorder the terms:
(-5 + 6m)(5m + 8) = 0

Reorder the terms:
(-5 + 6m)(8 + 5m) = 0

Multiply (-5 + 6m) * (8 + 5m)
(-5(8 + 5m) + 6m * (8 + 5m)) = 0
((8 * -5 + 5m * -5) + 6m * (8 + 5m)) = 0
((-40 + -25m) + 6m * (8 + 5m)) = 0
(-40 + -25m + (8 * 6m + 5m * 6m)) = 0
(-40 + -25m + (48m + 30m2)) = 0

Combine like terms: -25m + 48m = 23m
(-40 + 23m + 30m2) = 0

Solving
-40 + 23m + 30m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-8 + -5m)(5 + -6m) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(5 + -6m)' equal to zero and attempt to solve:

Simplifying
5 + -6m = 0

Solving
5 + -6m = 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 + -6m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6m = 0 + -5
-6m = 0 + -5

Combine like terms: 0 + -5 = -5
-6m = -5

Divide each side by '-6'.
m = 0.8333333333

Simplifying
m = 0.8333333333
Solution
m = {-1.6, 0.8333333333}

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