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Simplifying 2x2 + 4x + 4 = 340 Reorder the terms: 4 + 4x + 2x2 = 340 Solving 4 + 4x + 2x2 = 340 Solving for variable 'x'. Reorder the terms: 4 + -340 + 4x + 2x2 = 340 + -340 Combine like terms: 4 + -340 = -336 -336 + 4x + 2x2 = 340 + -340 Combine like terms: 340 + -340 = 0 -336 + 4x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-168 + 2x + x2) = 0 Factor a trinomial. 2((-14 + -1x)(12 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-14 + -1x)' equal to zero and attempt to solve: Simplifying -14 + -1x = 0 Solving -14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = 0 + 14 -1x = 0 + 14 Combine like terms: 0 + 14 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-14, 12}
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