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Simplifying 247 = 4x2 + 32x + -13 Reorder the terms: 247 = -13 + 32x + 4x2 Solving 247 = -13 + 32x + 4x2 Solving for variable 'x'. Combine like terms: 247 + 13 = 260 260 + -32x + -4x2 = -13 + 32x + 4x2 + 13 + -32x + -4x2 Reorder the terms: 260 + -32x + -4x2 = -13 + 13 + 32x + -32x + 4x2 + -4x2 Combine like terms: -13 + 13 = 0 260 + -32x + -4x2 = 0 + 32x + -32x + 4x2 + -4x2 260 + -32x + -4x2 = 32x + -32x + 4x2 + -4x2 Combine like terms: 32x + -32x = 0 260 + -32x + -4x2 = 0 + 4x2 + -4x2 260 + -32x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 260 + -32x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(65 + -8x + -1x2) = 0 Factor a trinomial. 4((5 + -1x)(13 + x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
Set the factor '(13 + x)' equal to zero and attempt to solve: Simplifying 13 + x = 0 Solving 13 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + x = 0 + -13 x = 0 + -13 Combine like terms: 0 + -13 = -13 x = -13 Simplifying x = -13Solution
x = {5, -13}
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