(3x-20)(x+12)=0

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Solution for (3x-20)(x+12)=0 equation: 


Simplifying
(3x + -20)(x + 12) = 0

Reorder the terms:
(-20 + 3x)(x + 12) = 0

Reorder the terms:
(-20 + 3x)(12 + x) = 0

Multiply (-20 + 3x) * (12 + x)
(-20(12 + x) + 3x * (12 + x)) = 0
((12 * -20 + x * -20) + 3x * (12 + x)) = 0
((-240 + -20x) + 3x * (12 + x)) = 0
(-240 + -20x + (12 * 3x + x * 3x)) = 0
(-240 + -20x + (36x + 3x2)) = 0

Combine like terms: -20x + 36x = 16x
(-240 + 16x + 3x2) = 0

Solving
-240 + 16x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-12 + -1x)(20 + -3x) = 0


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

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

Subproblem 2
Set the factor '(20 + -3x)' equal to zero and attempt to solve:

Simplifying
20 + -3x = 0

Solving
20 + -3x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -3x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -3x = 0 + -20
-3x = 0 + -20

Combine like terms: 0 + -20 = -20
-3x = -20

Divide each side by '-3'.
x = 6.666666667

Simplifying
x = 6.666666667
Solution
x = {-12, 6.666666667}

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