(6m-9)(5m+7)=

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Solution for (6m-9)(5m+7)= equation: 


Simplifying
(6m + -9)(5m + 7) = 0

Reorder the terms:
(-9 + 6m)(5m + 7) = 0

Reorder the terms:
(-9 + 6m)(7 + 5m) = 0

Multiply (-9 + 6m) * (7 + 5m)
(-9(7 + 5m) + 6m * (7 + 5m)) = 0
((7 * -9 + 5m * -9) + 6m * (7 + 5m)) = 0
((-63 + -45m) + 6m * (7 + 5m)) = 0
(-63 + -45m + (7 * 6m + 5m * 6m)) = 0
(-63 + -45m + (42m + 30m2)) = 0

Combine like terms: -45m + 42m = -3m
(-63 + -3m + 30m2) = 0

Solving
-63 + -3m + 30m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-21 + -1m + 10m2) = 0

Factor a trinomial.
3((-7 + -5m)(3 + -2m)) = 0

Ignore the factor 3.

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 '(3 + -2m)' equal to zero and attempt to solve:

Simplifying
3 + -2m = 0

Solving
3 + -2m = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2m = 0 + -3
-2m = 0 + -3

Combine like terms: 0 + -3 = -3
-2m = -3

Divide each side by '-2'.
m = 1.5

Simplifying
m = 1.5
Solution
m = {-1.4, 1.5}

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