(x-12)x-15=30

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Solution for (x-12)x-15=30 equation:


Simplifying
(x + -12) * x + -15 = 30

Reorder the terms:
(-12 + x) * x + -15 = 30

Reorder the terms for easier multiplication:
x(-12 + x) + -15 = 30
(-12 * x + x * x) + -15 = 30
(-12x + x2) + -15 = 30

Reorder the terms:
-15 + -12x + x2 = 30

Solving
-15 + -12x + x2 = 30

Solving for variable 'x'.

Reorder the terms:
-15 + -30 + -12x + x2 = 30 + -30

Combine like terms: -15 + -30 = -45
-45 + -12x + x2 = 30 + -30

Combine like terms: 30 + -30 = 0
-45 + -12x + x2 = 0

Factor a trinomial.
(-3 + -1x)(15 + -1x) = 0

Subproblem 1

Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3

Subproblem 2

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

Solution

x = {-3, 15}

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