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Simplifying 2x2 + 4x + 4 = 580 Reorder the terms: 4 + 4x + 2x2 = 580 Solving 4 + 4x + 2x2 = 580 Solving for variable 'x'. Reorder the terms: 4 + -580 + 4x + 2x2 = 580 + -580 Combine like terms: 4 + -580 = -576 -576 + 4x + 2x2 = 580 + -580 Combine like terms: 580 + -580 = 0 -576 + 4x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-288 + 2x + x2) = 0 Factor a trinomial. 2((-18 + -1x)(16 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-18 + -1x)' equal to zero and attempt to solve: Simplifying -18 + -1x = 0 Solving -18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = 0 + 18 -1x = 0 + 18 Combine like terms: 0 + 18 = 18 -1x = 18 Divide each side by '-1'. x = -18 Simplifying x = -18Subproblem 2
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 = 16Solution
x = {-18, 16}
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