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Simplifying 0 = 2x2 + -4x + -448 Reorder the terms: 0 = -448 + -4x + 2x2 Solving 0 = -448 + -4x + 2x2 Solving for variable 'x'. Combine like terms: 0 + 448 = 448 448 + 4x + -2x2 = -448 + -4x + 2x2 + 448 + 4x + -2x2 Reorder the terms: 448 + 4x + -2x2 = -448 + 448 + -4x + 4x + 2x2 + -2x2 Combine like terms: -448 + 448 = 0 448 + 4x + -2x2 = 0 + -4x + 4x + 2x2 + -2x2 448 + 4x + -2x2 = -4x + 4x + 2x2 + -2x2 Combine like terms: -4x + 4x = 0 448 + 4x + -2x2 = 0 + 2x2 + -2x2 448 + 4x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 448 + 4x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(224 + 2x + -1x2) = 0 Factor a trinomial. 2((16 + -1x)(14 + 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 '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Simplifying x = -14Solution
x = {16, -14}
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