(12x-15)(3x+45)=

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Solution for (12x-15)(3x+45)= equation: 


Simplifying
(12x + -15)(3x + 45) = 0

Reorder the terms:
(-15 + 12x)(3x + 45) = 0

Reorder the terms:
(-15 + 12x)(45 + 3x) = 0

Multiply (-15 + 12x) * (45 + 3x)
(-15(45 + 3x) + 12x * (45 + 3x)) = 0
((45 * -15 + 3x * -15) + 12x * (45 + 3x)) = 0
((-675 + -45x) + 12x * (45 + 3x)) = 0
(-675 + -45x + (45 * 12x + 3x * 12x)) = 0
(-675 + -45x + (540x + 36x2)) = 0

Combine like terms: -45x + 540x = 495x
(-675 + 495x + 36x2) = 0

Solving
-675 + 495x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(-75 + 55x + 4x2) = 0

Factor a trinomial.
9((-15 + -1x)(5 + -4x)) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(-15 + -1x)' equal to zero and attempt to solve:

Simplifying
-15 + -1x = 0

Solving
-15 + -1x = 0

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

Add '15' to each side of the equation.
-15 + 15 + -1x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -1x = 0 + 15
-1x = 0 + 15

Combine like terms: 0 + 15 = 15
-1x = 15

Divide each side by '-1'.
x = -15

Simplifying
x = -15

Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 0

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

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

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

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

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {-15, 1.25}

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