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Simplifying x(2x + -3)(3x + -15) = 180 Reorder the terms: x(-3 + 2x)(3x + -15) = 180 Reorder the terms: x(-3 + 2x)(-15 + 3x) = 180 Multiply (-3 + 2x) * (-15 + 3x) x(-3(-15 + 3x) + 2x * (-15 + 3x)) = 180 x((-15 * -3 + 3x * -3) + 2x * (-15 + 3x)) = 180 x((45 + -9x) + 2x * (-15 + 3x)) = 180 x(45 + -9x + (-15 * 2x + 3x * 2x)) = 180 x(45 + -9x + (-30x + 6x2)) = 180 Combine like terms: -9x + -30x = -39x x(45 + -39x + 6x2) = 180 (45 * x + -39x * x + 6x2 * x) = 180 (45x + -39x2 + 6x3) = 180 Solving 45x + -39x2 + 6x3 = 180 Solving for variable 'x'. Reorder the terms: -180 + 45x + -39x2 + 6x3 = 180 + -180 Combine like terms: 180 + -180 = 0 -180 + 45x + -39x2 + 6x3 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-60 + 15x + -13x2 + 2x3) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-60 + 15x + -13x2 + 2x3)' equal to zero and attempt to solve: Simplifying -60 + 15x + -13x2 + 2x3 = 0 Solving -60 + 15x + -13x2 + 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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