(x-18)(x+13)=0

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Solution for (x-18)(x+13)=0 equation:


Simplifying
(x + -18)(x + 13) = 0

Reorder the terms:
(-18 + x)(x + 13) = 0

Reorder the terms:
(-18 + x)(13 + x) = 0

Multiply (-18 + x) * (13 + x)
(-18(13 + x) + x(13 + x)) = 0
((13 * -18 + x * -18) + x(13 + x)) = 0
((-234 + -18x) + x(13 + x)) = 0
(-234 + -18x + (13 * x + x * x)) = 0
(-234 + -18x + (13x + x2)) = 0

Combine like terms: -18x + 13x = -5x
(-234 + -5x + x2) = 0

Solving
-234 + -5x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-13 + -1x)(18 + -1x) = 0

Subproblem 1

Set the factor '(-13 + -1x)' equal to zero and attempt to solve: Simplifying -13 + -1x = 0 Solving -13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = 0 + 13 -1x = 0 + 13 Combine like terms: 0 + 13 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13

Subproblem 2

Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18

Solution

x = {-13, 18}

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