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Simplifying (x + 5)(x + -18) = 0 Reorder the terms: (5 + x)(x + -18) = 0 Reorder the terms: (5 + x)(-18 + x) = 0 Multiply (5 + x) * (-18 + x) (5(-18 + x) + x(-18 + x)) = 0 ((-18 * 5 + x * 5) + x(-18 + x)) = 0 ((-90 + 5x) + x(-18 + x)) = 0 (-90 + 5x + (-18 * x + x * x)) = 0 (-90 + 5x + (-18x + x2)) = 0 Combine like terms: 5x + -18x = -13x (-90 + -13x + x2) = 0 Solving -90 + -13x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -1x)(18 + -1x) = 0Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5Subproblem 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 = 18Solution
x = {-5, 18}
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