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Simplifying 192x2 + -24x + -918 = 0 Reorder the terms: -918 + -24x + 192x2 = 0 Solving -918 + -24x + 192x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(-153 + -4x + 32x2) = 0 Factor a trinomial. 6((-17 + -8x)(9 + -4x)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-17 + -8x)' equal to zero and attempt to solve: Simplifying -17 + -8x = 0 Solving -17 + -8x = 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 + -8x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -8x = 0 + 17 -8x = 0 + 17 Combine like terms: 0 + 17 = 17 -8x = 17 Divide each side by '-8'. x = -2.125 Simplifying x = -2.125Subproblem 2
Set the factor '(9 + -4x)' equal to zero and attempt to solve: Simplifying 9 + -4x = 0 Solving 9 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25Solution
x = {-2.125, 2.25}
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