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Simplifying (4x + -3) * x(2x + -6) = 500 Reorder the terms: (-3 + 4x) * x(2x + -6) = 500 Reorder the terms: (-3 + 4x) * x(-6 + 2x) = 500 Reorder the terms for easier multiplication: x(-3 + 4x)(-6 + 2x) = 500 Multiply (-3 + 4x) * (-6 + 2x) x(-3(-6 + 2x) + 4x * (-6 + 2x)) = 500 x((-6 * -3 + 2x * -3) + 4x * (-6 + 2x)) = 500 x((18 + -6x) + 4x * (-6 + 2x)) = 500 x(18 + -6x + (-6 * 4x + 2x * 4x)) = 500 x(18 + -6x + (-24x + 8x2)) = 500 Combine like terms: -6x + -24x = -30x x(18 + -30x + 8x2) = 500 (18 * x + -30x * x + 8x2 * x) = 500 (18x + -30x2 + 8x3) = 500 Solving 18x + -30x2 + 8x3 = 500 Solving for variable 'x'. Reorder the terms: -500 + 18x + -30x2 + 8x3 = 500 + -500 Combine like terms: 500 + -500 = 0 -500 + 18x + -30x2 + 8x3 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-250 + 9x + -15x2 + 4x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-250 + 9x + -15x2 + 4x3)' equal to zero and attempt to solve: Simplifying -250 + 9x + -15x2 + 4x3 = 0 Solving -250 + 9x + -15x2 + 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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