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Simplifying 2x2 = 16 + 4x Solving 2x2 = 16 + 4x Solving for variable 'x'. Reorder the terms: -16 + -4x + 2x2 = 16 + 4x + -16 + -4x Reorder the terms: -16 + -4x + 2x2 = 16 + -16 + 4x + -4x Combine like terms: 16 + -16 = 0 -16 + -4x + 2x2 = 0 + 4x + -4x -16 + -4x + 2x2 = 4x + -4x Combine like terms: 4x + -4x = 0 -16 + -4x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-8 + -2x + x2) = 0 Factor a trinomial. 2((-2 + -1x)(4 + -1x)) = 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 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-2, 4}
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