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Simplifying 2x2 + 4x = 646 Reorder the terms: 4x + 2x2 = 646 Solving 4x + 2x2 = 646 Solving for variable 'x'. Reorder the terms: -646 + 4x + 2x2 = 646 + -646 Combine like terms: 646 + -646 = 0 -646 + 4x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-323 + 2x + x2) = 0 Factor a trinomial. 2((-19 + -1x)(17 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-19 + -1x)' equal to zero and attempt to solve: Simplifying -19 + -1x = 0 Solving -19 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -1x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1x = 0 + 19 -1x = 0 + 19 Combine like terms: 0 + 19 = 19 -1x = 19 Divide each side by '-1'. x = -19 Simplifying x = -19Subproblem 2
Set the factor '(17 + -1x)' equal to zero and attempt to solve: Simplifying 17 + -1x = 0 Solving 17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 0 + -17 -1x = 0 + -17 Combine like terms: 0 + -17 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17Solution
x = {-19, 17}
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