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Simplifying (x + 2)(x + -18) = 0 Reorder the terms: (2 + x)(x + -18) = 0 Reorder the terms: (2 + x)(-18 + x) = 0 Multiply (2 + x) * (-18 + x) (2(-18 + x) + x(-18 + x)) = 0 ((-18 * 2 + x * 2) + x(-18 + x)) = 0 ((-36 + 2x) + x(-18 + x)) = 0 (-36 + 2x + (-18 * x + x * x)) = 0 (-36 + 2x + (-18x + x2)) = 0 Combine like terms: 2x + -18x = -16x (-36 + -16x + x2) = 0 Solving -36 + -16x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -1x)(18 + -1x) = 0Subproblem 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 = -2Subproblem 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 = {-2, 18}
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