(6m-8)(5m+4)=

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Solution for (6m-8)(5m+4)= equation: 


Simplifying
(6m + -8)(5m + 4) = 0

Reorder the terms:
(-8 + 6m)(5m + 4) = 0

Reorder the terms:
(-8 + 6m)(4 + 5m) = 0

Multiply (-8 + 6m) * (4 + 5m)
(-8(4 + 5m) + 6m * (4 + 5m)) = 0
((4 * -8 + 5m * -8) + 6m * (4 + 5m)) = 0
((-32 + -40m) + 6m * (4 + 5m)) = 0
(-32 + -40m + (4 * 6m + 5m * 6m)) = 0
(-32 + -40m + (24m + 30m2)) = 0

Combine like terms: -40m + 24m = -16m
(-32 + -16m + 30m2) = 0

Solving
-32 + -16m + 30m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-16 + -8m + 15m2) = 0

Factor a trinomial.
2((-4 + -5m)(4 + -3m)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-4 + -5m)' equal to zero and attempt to solve:

Simplifying
-4 + -5m = 0

Solving
-4 + -5m = 0

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

Add '4' to each side of the equation.
-4 + 4 + -5m = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5m = 0 + 4
-5m = 0 + 4

Combine like terms: 0 + 4 = 4
-5m = 4

Divide each side by '-5'.
m = -0.8

Simplifying
m = -0.8

Subproblem 2
Set the factor '(4 + -3m)' equal to zero and attempt to solve:

Simplifying
4 + -3m = 0

Solving
4 + -3m = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3m = 0 + -4
-3m = 0 + -4

Combine like terms: 0 + -4 = -4
-3m = -4

Divide each side by '-3'.
m = 1.333333333

Simplifying
m = 1.333333333
Solution
m = {-0.8, 1.333333333}

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