(12m-8)(4m+36)=0

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Solution for (12m-8)(4m+36)=0 equation: 


Simplifying
(12m + -8)(4m + 36) = 0

Reorder the terms:
(-8 + 12m)(4m + 36) = 0

Reorder the terms:
(-8 + 12m)(36 + 4m) = 0

Multiply (-8 + 12m) * (36 + 4m)
(-8(36 + 4m) + 12m * (36 + 4m)) = 0
((36 * -8 + 4m * -8) + 12m * (36 + 4m)) = 0
((-288 + -32m) + 12m * (36 + 4m)) = 0
(-288 + -32m + (36 * 12m + 4m * 12m)) = 0
(-288 + -32m + (432m + 48m2)) = 0

Combine like terms: -32m + 432m = 400m
(-288 + 400m + 48m2) = 0

Solving
-288 + 400m + 48m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '16'.
16(-18 + 25m + 3m2) = 0

Factor a trinomial.
16((-9 + -1m)(2 + -3m)) = 0

Ignore the factor 16.

Subproblem 1
Set the factor '(-9 + -1m)' equal to zero and attempt to solve:

Simplifying
-9 + -1m = 0

Solving
-9 + -1m = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1m = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1m = 0 + 9
-1m = 0 + 9

Combine like terms: 0 + 9 = 9
-1m = 9

Divide each side by '-1'.
m = -9

Simplifying
m = -9

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 = {-9, 0.6666666667}

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