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Simplifying 40 = 2x(x + -1)(x + -4) Reorder the terms: 40 = 2x(-1 + x)(x + -4) Reorder the terms: 40 = 2x(-1 + x)(-4 + x) Multiply (-1 + x) * (-4 + x) 40 = 2x(-1(-4 + x) + x(-4 + x)) 40 = 2x((-4 * -1 + x * -1) + x(-4 + x)) 40 = 2x((4 + -1x) + x(-4 + x)) 40 = 2x(4 + -1x + (-4 * x + x * x)) 40 = 2x(4 + -1x + (-4x + x2)) Combine like terms: -1x + -4x = -5x 40 = 2x(4 + -5x + x2) 40 = (4 * 2x + -5x * 2x + x2 * 2x) 40 = (8x + -10x2 + 2x3) Solving 40 = 8x + -10x2 + 2x3 Solving for variable 'x'. Reorder the terms: 40 + -8x + 10x2 + -2x3 = 8x + -8x + -10x2 + 10x2 + 2x3 + -2x3 Combine like terms: 8x + -8x = 0 40 + -8x + 10x2 + -2x3 = 0 + -10x2 + 10x2 + 2x3 + -2x3 40 + -8x + 10x2 + -2x3 = -10x2 + 10x2 + 2x3 + -2x3 Combine like terms: -10x2 + 10x2 = 0 40 + -8x + 10x2 + -2x3 = 0 + 2x3 + -2x3 40 + -8x + 10x2 + -2x3 = 2x3 + -2x3 Combine like terms: 2x3 + -2x3 = 0 40 + -8x + 10x2 + -2x3 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(20 + -4x + 5x2 + -1x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(20 + -4x + 5x2 + -1x3)' equal to zero and attempt to solve: Simplifying 20 + -4x + 5x2 + -1x3 = 0 Solving 20 + -4x + 5x2 + -1x3 = 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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