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Simplifying 168 = 9x2 + 6x Reorder the terms: 168 = 6x + 9x2 Solving 168 = 6x + 9x2 Solving for variable 'x'. Reorder the terms: 168 + -6x + -9x2 = 6x + -6x + 9x2 + -9x2 Combine like terms: 6x + -6x = 0 168 + -6x + -9x2 = 0 + 9x2 + -9x2 168 + -6x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 168 + -6x + -9x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(56 + -2x + -3x2) = 0 Factor a trinomial. 3((4 + -1x)(14 + 3x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(14 + 3x)' equal to zero and attempt to solve: Simplifying 14 + 3x = 0 Solving 14 + 3x = 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 + 3x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 0 + -14 3x = 0 + -14 Combine like terms: 0 + -14 = -14 3x = -14 Divide each side by '3'. x = -4.666666667 Simplifying x = -4.666666667Solution
x = {4, -4.666666667}
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