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Simplifying (x)(x + 2) = 960 Reorder the terms: x(2 + x) = 960 (2 * x + x * x) = 960 (2x + x2) = 960 Solving 2x + x2 = 960 Solving for variable 'x'. Reorder the terms: -960 + 2x + x2 = 960 + -960 Combine like terms: 960 + -960 = 0 -960 + 2x + x2 = 0 Factor a trinomial. (-32 + -1x)(30 + -1x) = 0Subproblem 1
Set the factor '(-32 + -1x)' equal to zero and attempt to solve: Simplifying -32 + -1x = 0 Solving -32 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -1x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -1x = 0 + 32 -1x = 0 + 32 Combine like terms: 0 + 32 = 32 -1x = 32 Divide each side by '-1'. x = -32 Simplifying x = -32Subproblem 2
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 = 30Solution
x = {-32, 30}
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