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Simplifying 2x2 + 12x + -4 = 28 Reorder the terms: -4 + 12x + 2x2 = 28 Solving -4 + 12x + 2x2 = 28 Solving for variable 'x'. Reorder the terms: -4 + -28 + 12x + 2x2 = 28 + -28 Combine like terms: -4 + -28 = -32 -32 + 12x + 2x2 = 28 + -28 Combine like terms: 28 + -28 = 0 -32 + 12x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-16 + 6x + x2) = 0 Factor a trinomial. 2((-8 + -1x)(2 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8Subproblem 2
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 = 2Solution
x = {-8, 2}
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