(x-10)(3x+12)=

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Solution for (x-10)(3x+12)= equation: 


Simplifying
(x + -10)(3x + 12) = 0

Reorder the terms:
(-10 + x)(3x + 12) = 0

Reorder the terms:
(-10 + x)(12 + 3x) = 0

Multiply (-10 + x) * (12 + 3x)
(-10(12 + 3x) + x(12 + 3x)) = 0
((12 * -10 + 3x * -10) + x(12 + 3x)) = 0
((-120 + -30x) + x(12 + 3x)) = 0
(-120 + -30x + (12 * x + 3x * x)) = 0
(-120 + -30x + (12x + 3x2)) = 0

Combine like terms: -30x + 12x = -18x
(-120 + -18x + 3x2) = 0

Solving
-120 + -18x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-40 + -6x + x2) = 0

Factor a trinomial.
3((-4 + -1x)(10 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-4, 10}

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