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Simplifying x(x + -18) = 1440 Reorder the terms: x(-18 + x) = 1440 (-18 * x + x * x) = 1440 (-18x + x2) = 1440 Solving -18x + x2 = 1440 Solving for variable 'x'. Reorder the terms: -1440 + -18x + x2 = 1440 + -1440 Combine like terms: 1440 + -1440 = 0 -1440 + -18x + x2 = 0 Factor a trinomial. (-30 + -1x)(48 + -1x) = 0Subproblem 1
Set the factor '(-30 + -1x)' equal to zero and attempt to solve: Simplifying -30 + -1x = 0 Solving -30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -1x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -1x = 0 + 30 -1x = 0 + 30 Combine like terms: 0 + 30 = 30 -1x = 30 Divide each side by '-1'. x = -30 Simplifying x = -30Subproblem 2
Set the factor '(48 + -1x)' equal to zero and attempt to solve: Simplifying 48 + -1x = 0 Solving 48 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -1x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -1x = 0 + -48 -1x = 0 + -48 Combine like terms: 0 + -48 = -48 -1x = -48 Divide each side by '-1'. x = 48 Simplifying x = 48Solution
x = {-30, 48}
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