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Simplifying (x + 4)(x) = 396 Reorder the terms: (4 + x)(x) = 396 Reorder the terms for easier multiplication: x(4 + x) = 396 (4 * x + x * x) = 396 (4x + x2) = 396 Solving 4x + x2 = 396 Solving for variable 'x'. Reorder the terms: -396 + 4x + x2 = 396 + -396 Combine like terms: 396 + -396 = 0 -396 + 4x + x2 = 0 Factor a trinomial. (-22 + -1x)(18 + -1x) = 0Subproblem 1
Set the factor '(-22 + -1x)' equal to zero and attempt to solve: Simplifying -22 + -1x = 0 Solving -22 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -1x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -1x = 0 + 22 -1x = 0 + 22 Combine like terms: 0 + 22 = 22 -1x = 22 Divide each side by '-1'. x = -22 Simplifying x = -22Subproblem 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 = {-22, 18}
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