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Simplifying 4x2 = 34x + 168 Reorder the terms: 4x2 = 168 + 34x Solving 4x2 = 168 + 34x Solving for variable 'x'. Reorder the terms: -168 + -34x + 4x2 = 168 + 34x + -168 + -34x Reorder the terms: -168 + -34x + 4x2 = 168 + -168 + 34x + -34x Combine like terms: 168 + -168 = 0 -168 + -34x + 4x2 = 0 + 34x + -34x -168 + -34x + 4x2 = 34x + -34x Combine like terms: 34x + -34x = 0 -168 + -34x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-84 + -17x + 2x2) = 0 Factor a trinomial. 2((-7 + -2x)(12 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + -2x)' equal to zero and attempt to solve: Simplifying -7 + -2x = 0 Solving -7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 0 + 7 -2x = 0 + 7 Combine like terms: 0 + 7 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5Subproblem 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 = {-3.5, 12}
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