(5m+12)(5m-15)=0

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Solution for (5m+12)(5m-15)=0 equation: 


Simplifying
(5m + 12)(5m + -15) = 0

Reorder the terms:
(12 + 5m)(5m + -15) = 0

Reorder the terms:
(12 + 5m)(-15 + 5m) = 0

Multiply (12 + 5m) * (-15 + 5m)
(12(-15 + 5m) + 5m * (-15 + 5m)) = 0
((-15 * 12 + 5m * 12) + 5m * (-15 + 5m)) = 0
((-180 + 60m) + 5m * (-15 + 5m)) = 0
(-180 + 60m + (-15 * 5m + 5m * 5m)) = 0
(-180 + 60m + (-75m + 25m2)) = 0

Combine like terms: 60m + -75m = -15m
(-180 + -15m + 25m2) = 0

Solving
-180 + -15m + 25m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-36 + -3m + 5m2) = 0

Factor a trinomial.
5((-12 + -5m)(3 + -1m)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-12 + -5m)' equal to zero and attempt to solve:

Simplifying
-12 + -5m = 0

Solving
-12 + -5m = 0

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

Add '12' to each side of the equation.
-12 + 12 + -5m = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -5m = 0 + 12
-5m = 0 + 12

Combine like terms: 0 + 12 = 12
-5m = 12

Divide each side by '-5'.
m = -2.4

Simplifying
m = -2.4

Subproblem 2
Set the factor '(3 + -1m)' equal to zero and attempt to solve:

Simplifying
3 + -1m = 0

Solving
3 + -1m = 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 + -1m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1m = 0 + -3
-1m = 0 + -3

Combine like terms: 0 + -3 = -3
-1m = -3

Divide each side by '-1'.
m = 3

Simplifying
m = 3
Solution
m = {-2.4, 3}

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