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Simplifying 528 = x(114 + -6x) 528 = (114 * x + -6x * x) 528 = (114x + -6x2) Solving 528 = 114x + -6x2 Solving for variable 'x'. Reorder the terms: 528 + -114x + 6x2 = 114x + -114x + -6x2 + 6x2 Combine like terms: 114x + -114x = 0 528 + -114x + 6x2 = 0 + -6x2 + 6x2 528 + -114x + 6x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 528 + -114x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(88 + -19x + x2) = 0 Factor a trinomial. 6((8 + -1x)(11 + -1x)) = 0 Ignore the factor 6.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 '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {8, 11}
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