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Simplifying (2x + 6) * x(4x + -3) = 500 Reorder the terms: (6 + 2x) * x(4x + -3) = 500 Reorder the terms: (6 + 2x) * x(-3 + 4x) = 500 Reorder the terms for easier multiplication: x(6 + 2x)(-3 + 4x) = 500 Multiply (6 + 2x) * (-3 + 4x) x(6(-3 + 4x) + 2x * (-3 + 4x)) = 500 x((-3 * 6 + 4x * 6) + 2x * (-3 + 4x)) = 500 x((-18 + 24x) + 2x * (-3 + 4x)) = 500 x(-18 + 24x + (-3 * 2x + 4x * 2x)) = 500 x(-18 + 24x + (-6x + 8x2)) = 500 Combine like terms: 24x + -6x = 18x x(-18 + 18x + 8x2) = 500 (-18 * x + 18x * x + 8x2 * x) = 500 (-18x + 18x2 + 8x3) = 500 Solving -18x + 18x2 + 8x3 = 500 Solving for variable 'x'. Reorder the terms: -500 + -18x + 18x2 + 8x3 = 500 + -500 Combine like terms: 500 + -500 = 0 -500 + -18x + 18x2 + 8x3 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-250 + -9x + 9x2 + 4x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-250 + -9x + 9x2 + 4x3)' equal to zero and attempt to solve: Simplifying -250 + -9x + 9x2 + 4x3 = 0 Solving -250 + -9x + 9x2 + 4x3 = 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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