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Simplifying 2(x + 9) * 2(x) * 2(x + -4) = 180 Reorder the terms: 2(9 + x) * 2(x) * 2(x + -4) = 180 Reorder the terms: 2(9 + x) * 2x * 2(-4 + x) = 180 Reorder the terms for easier multiplication: 2 * 2 * 2x(9 + x)(-4 + x) = 180 Multiply 2 * 2 4 * 2x(9 + x)(-4 + x) = 180 Multiply 4 * 2 8x(9 + x)(-4 + x) = 180 Multiply (9 + x) * (-4 + x) 8x(9(-4 + x) + x(-4 + x)) = 180 8x((-4 * 9 + x * 9) + x(-4 + x)) = 180 8x((-36 + 9x) + x(-4 + x)) = 180 8x(-36 + 9x + (-4 * x + x * x)) = 180 8x(-36 + 9x + (-4x + x2)) = 180 Combine like terms: 9x + -4x = 5x 8x(-36 + 5x + x2) = 180 (-36 * 8x + 5x * 8x + x2 * 8x) = 180 (-288x + 40x2 + 8x3) = 180 Solving -288x + 40x2 + 8x3 = 180 Solving for variable 'x'. Reorder the terms: -180 + -288x + 40x2 + 8x3 = 180 + -180 Combine like terms: 180 + -180 = 0 -180 + -288x + 40x2 + 8x3 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-45 + -72x + 10x2 + 2x3) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-45 + -72x + 10x2 + 2x3)' equal to zero and attempt to solve: Simplifying -45 + -72x + 10x2 + 2x3 = 0 Solving -45 + -72x + 10x2 + 2x3 = 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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