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Simplifying x(24 + -2x)(24 + -2x) = 972 Multiply (24 + -2x) * (24 + -2x) x(24(24 + -2x) + -2x * (24 + -2x)) = 972 x((24 * 24 + -2x * 24) + -2x * (24 + -2x)) = 972 x((576 + -48x) + -2x * (24 + -2x)) = 972 x(576 + -48x + (24 * -2x + -2x * -2x)) = 972 x(576 + -48x + (-48x + 4x2)) = 972 Combine like terms: -48x + -48x = -96x x(576 + -96x + 4x2) = 972 (576 * x + -96x * x + 4x2 * x) = 972 (576x + -96x2 + 4x3) = 972 Solving 576x + -96x2 + 4x3 = 972 Solving for variable 'x'. Reorder the terms: -972 + 576x + -96x2 + 4x3 = 972 + -972 Combine like terms: 972 + -972 = 0 -972 + 576x + -96x2 + 4x3 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-243 + 144x + -24x2 + x3) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-243 + 144x + -24x2 + x3)' equal to zero and attempt to solve: Simplifying -243 + 144x + -24x2 + x3 = 0 Solving -243 + 144x + -24x2 + 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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