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Simplifying x(10 + -2x)(12 + -2x) = 96 Multiply (10 + -2x) * (12 + -2x) x(10(12 + -2x) + -2x * (12 + -2x)) = 96 x((12 * 10 + -2x * 10) + -2x * (12 + -2x)) = 96 x((120 + -20x) + -2x * (12 + -2x)) = 96 x(120 + -20x + (12 * -2x + -2x * -2x)) = 96 x(120 + -20x + (-24x + 4x2)) = 96 Combine like terms: -20x + -24x = -44x x(120 + -44x + 4x2) = 96 (120 * x + -44x * x + 4x2 * x) = 96 (120x + -44x2 + 4x3) = 96 Solving 120x + -44x2 + 4x3 = 96 Solving for variable 'x'. Reorder the terms: -96 + 120x + -44x2 + 4x3 = 96 + -96 Combine like terms: 96 + -96 = 0 -96 + 120x + -44x2 + 4x3 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-24 + 30x + -11x2 + x3) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-24 + 30x + -11x2 + x3)' equal to zero and attempt to solve: Simplifying -24 + 30x + -11x2 + x3 = 0 Solving -24 + 30x + -11x2 + x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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