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Simplifying 0 = x2 + 4x + -480 Reorder the terms: 0 = -480 + 4x + x2 Solving 0 = -480 + 4x + x2 Solving for variable 'x'. Combine like terms: 0 + 480 = 480 480 + -4x + -1x2 = -480 + 4x + x2 + 480 + -4x + -1x2 Reorder the terms: 480 + -4x + -1x2 = -480 + 480 + 4x + -4x + x2 + -1x2 Combine like terms: -480 + 480 = 0 480 + -4x + -1x2 = 0 + 4x + -4x + x2 + -1x2 480 + -4x + -1x2 = 4x + -4x + x2 + -1x2 Combine like terms: 4x + -4x = 0 480 + -4x + -1x2 = 0 + x2 + -1x2 480 + -4x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 480 + -4x + -1x2 = 0 Factor a trinomial. (20 + -1x)(24 + x) = 0Subproblem 1
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Subproblem 2
Set the factor '(24 + x)' equal to zero and attempt to solve: Simplifying 24 + x = 0 Solving 24 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + x = 0 + -24 x = 0 + -24 Combine like terms: 0 + -24 = -24 x = -24 Simplifying x = -24Solution
x = {20, -24}
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