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Simplifying x(29 + x) = 18(22 + 18) (29 * x + x * x) = 18(22 + 18) (29x + x2) = 18(22 + 18) Combine like terms: 22 + 18 = 40 29x + x2 = 18(40) Multiply 18 * 40 29x + x2 = 720 Solving 29x + x2 = 720 Solving for variable 'x'. Reorder the terms: -720 + 29x + x2 = 720 + -720 Combine like terms: 720 + -720 = 0 -720 + 29x + x2 = 0 Factor a trinomial. (-45 + -1x)(16 + -1x) = 0Subproblem 1
Set the factor '(-45 + -1x)' equal to zero and attempt to solve: Simplifying -45 + -1x = 0 Solving -45 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -1x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -1x = 0 + 45 -1x = 0 + 45 Combine like terms: 0 + 45 = 45 -1x = 45 Divide each side by '-1'. x = -45 Simplifying x = -45Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Solution
x = {-45, 16}
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