x^2-18x=88

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Solution for x^2-18x=88 equation:


Simplifying
x2 + -18x = 88

Reorder the terms:
-18x + x2 = 88

Solving
-18x + x2 = 88

Solving for variable 'x'.

Reorder the terms:
-88 + -18x + x2 = 88 + -88

Combine like terms: 88 + -88 = 0
-88 + -18x + x2 = 0

Factor a trinomial.
(-4 + -1x)(22 + -1x) = 0

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 '(22 + -1x)' equal to zero and attempt to solve: Simplifying 22 + -1x = 0 Solving 22 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1x = 0 + -22 -1x = 0 + -22 Combine like terms: 0 + -22 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22

Solution

x = {-4, 22}

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