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Simplifying 0 = -480 + 14x + x2 Solving 0 = -480 + 14x + x2 Solving for variable 'x'. Combine like terms: 0 + 480 = 480 480 + -14x + -1x2 = -480 + 14x + x2 + 480 + -14x + -1x2 Reorder the terms: 480 + -14x + -1x2 = -480 + 480 + 14x + -14x + x2 + -1x2 Combine like terms: -480 + 480 = 0 480 + -14x + -1x2 = 0 + 14x + -14x + x2 + -1x2 480 + -14x + -1x2 = 14x + -14x + x2 + -1x2 Combine like terms: 14x + -14x = 0 480 + -14x + -1x2 = 0 + x2 + -1x2 480 + -14x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 480 + -14x + -1x2 = 0 Factor a trinomial. (16 + -1x)(30 + x) = 0Subproblem 1
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 = 16Subproblem 2
Set the factor '(30 + x)' equal to zero and attempt to solve: Simplifying 30 + x = 0 Solving 30 + x = 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 + x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + x = 0 + -30 x = 0 + -30 Combine like terms: 0 + -30 = -30 x = -30 Simplifying x = -30Solution
x = {16, -30}
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