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Simplifying (x2) = 2(x + 480) x2 = 2(x + 480) Reorder the terms: x2 = 2(480 + x) x2 = (480 * 2 + x * 2) x2 = (960 + 2x) Solving x2 = 960 + 2x Solving for variable 'x'. Reorder the terms: -960 + -2x + x2 = 960 + 2x + -960 + -2x Reorder the terms: -960 + -2x + x2 = 960 + -960 + 2x + -2x Combine like terms: 960 + -960 = 0 -960 + -2x + x2 = 0 + 2x + -2x -960 + -2x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 -960 + -2x + x2 = 0 Factor a trinomial. (-30 + -1x)(32 + -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 '(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 = 32Solution
x = {-30, 32}
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