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

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Solution for (x+12)(x-10)=0 equation:


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

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

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

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

Combine like terms: 12x + -10x = 2x
(-120 + 2x + x2) = 0

Solving
-120 + 2x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-12 + -1x)(10 + -1x) = 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 '(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 = {-12, 10}

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