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

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


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

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

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

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

Combine like terms: 63m + -30m = 33m
(-42 + 33m + 45m2) = 0

Solving
-42 + 33m + 45m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-14 + 11m + 15m2) = 0

Factor a trinomial.
3((-7 + -5m)(2 + -3m)) = 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 '(2 + -3m)' equal to zero and attempt to solve:

Simplifying
2 + -3m = 0

Solving
2 + -3m = 0

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

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

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

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

Divide each side by '-3'.
m = 0.6666666667

Simplifying
m = 0.6666666667
Solution
m = {-1.4, 0.6666666667}

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