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Simplifying (4x + 16)(5x + -12) * x = 28 Reorder the terms: (16 + 4x)(5x + -12) * x = 28 Reorder the terms: (16 + 4x)(-12 + 5x) * x = 28 Reorder the terms for easier multiplication: x(16 + 4x)(-12 + 5x) = 28 Multiply (16 + 4x) * (-12 + 5x) x(16(-12 + 5x) + 4x * (-12 + 5x)) = 28 x((-12 * 16 + 5x * 16) + 4x * (-12 + 5x)) = 28 x((-192 + 80x) + 4x * (-12 + 5x)) = 28 x(-192 + 80x + (-12 * 4x + 5x * 4x)) = 28 x(-192 + 80x + (-48x + 20x2)) = 28 Combine like terms: 80x + -48x = 32x x(-192 + 32x + 20x2) = 28 (-192 * x + 32x * x + 20x2 * x) = 28 (-192x + 32x2 + 20x3) = 28 Solving -192x + 32x2 + 20x3 = 28 Solving for variable 'x'. Reorder the terms: -28 + -192x + 32x2 + 20x3 = 28 + -28 Combine like terms: 28 + -28 = 0 -28 + -192x + 32x2 + 20x3 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-7 + -48x + 8x2 + 5x3) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-7 + -48x + 8x2 + 5x3)' equal to zero and attempt to solve: Simplifying -7 + -48x + 8x2 + 5x3 = 0 Solving -7 + -48x + 8x2 + 5x3 = 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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