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Simplifying 0 = 2x2 + 28x + -960 Reorder the terms: 0 = -960 + 28x + 2x2 Solving 0 = -960 + 28x + 2x2 Solving for variable 'x'. Combine like terms: 0 + 960 = 960 960 + -28x + -2x2 = -960 + 28x + 2x2 + 960 + -28x + -2x2 Reorder the terms: 960 + -28x + -2x2 = -960 + 960 + 28x + -28x + 2x2 + -2x2 Combine like terms: -960 + 960 = 0 960 + -28x + -2x2 = 0 + 28x + -28x + 2x2 + -2x2 960 + -28x + -2x2 = 28x + -28x + 2x2 + -2x2 Combine like terms: 28x + -28x = 0 960 + -28x + -2x2 = 0 + 2x2 + -2x2 960 + -28x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 960 + -28x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(480 + -14x + -1x2) = 0 Factor a trinomial. 2((16 + -1x)(30 + x)) = 0 Ignore the factor 2.Subproblem 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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