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Simplifying (x + 18)(x + -20) = 0 Reorder the terms: (18 + x)(x + -20) = 0 Reorder the terms: (18 + x)(-20 + x) = 0 Multiply (18 + x) * (-20 + x) (18(-20 + x) + x(-20 + x)) = 0 ((-20 * 18 + x * 18) + x(-20 + x)) = 0 ((-360 + 18x) + x(-20 + x)) = 0 (-360 + 18x + (-20 * x + x * x)) = 0 (-360 + 18x + (-20x + x2)) = 0 Combine like terms: 18x + -20x = -2x (-360 + -2x + x2) = 0 Solving -360 + -2x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-18 + -1x)(20 + -1x) = 0Subproblem 1
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 = -18Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Solution
x = {-18, 20}
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