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Simplifying 10 = 2x2 + 4x + -6 Reorder the terms: 10 = -6 + 4x + 2x2 Solving 10 = -6 + 4x + 2x2 Solving for variable 'x'. Combine like terms: 10 + 6 = 16 16 + -4x + -2x2 = -6 + 4x + 2x2 + 6 + -4x + -2x2 Reorder the terms: 16 + -4x + -2x2 = -6 + 6 + 4x + -4x + 2x2 + -2x2 Combine like terms: -6 + 6 = 0 16 + -4x + -2x2 = 0 + 4x + -4x + 2x2 + -2x2 16 + -4x + -2x2 = 4x + -4x + 2x2 + -2x2 Combine like terms: 4x + -4x = 0 16 + -4x + -2x2 = 0 + 2x2 + -2x2 16 + -4x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 16 + -4x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(8 + -2x + -1x2) = 0 Factor a trinomial. 2((2 + -1x)(4 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {2, -4}
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