x*x-18x=144

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Solution for x*x-18x=144 equation:


Simplifying
x * x + -18x = 144

Multiply x * x
x2 + -18x = 144

Reorder the terms:
-18x + x2 = 144

Solving
-18x + x2 = 144

Solving for variable 'x'.

Reorder the terms:
-144 + -18x + x2 = 144 + -144

Combine like terms: 144 + -144 = 0
-144 + -18x + x2 = 0

Factor a trinomial.
(-6 + -1x)(24 + -1x) = 0

Subproblem 1

Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6

Subproblem 2

Set the factor '(24 + -1x)' equal to zero and attempt to solve: Simplifying 24 + -1x = 0 Solving 24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 0 + -24 -1x = 0 + -24 Combine like terms: 0 + -24 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24

Solution

x = {-6, 24}

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