x^2-18x-24=-9x-2

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Solution for x^2-18x-24=-9x-2 equation:


Simplifying
x2 + -18x + -24 = -9x + -2

Reorder the terms:
-24 + -18x + x2 = -9x + -2

Reorder the terms:
-24 + -18x + x2 = -2 + -9x

Solving
-24 + -18x + x2 = -2 + -9x

Solving for variable 'x'.

Reorder the terms:
-24 + 2 + -18x + 9x + x2 = -2 + -9x + 2 + 9x

Combine like terms: -24 + 2 = -22
-22 + -18x + 9x + x2 = -2 + -9x + 2 + 9x

Combine like terms: -18x + 9x = -9x
-22 + -9x + x2 = -2 + -9x + 2 + 9x

Reorder the terms:
-22 + -9x + x2 = -2 + 2 + -9x + 9x

Combine like terms: -2 + 2 = 0
-22 + -9x + x2 = 0 + -9x + 9x
-22 + -9x + x2 = -9x + 9x

Combine like terms: -9x + 9x = 0
-22 + -9x + x2 = 0

Factor a trinomial.
(-2 + -1x)(11 + -1x) = 0

Subproblem 1

Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2

Subproblem 2

Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11

Solution

x = {-2, 11}

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