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Simplifying 3(x + 1)(x + -4)(x + 5) = 0 Reorder the terms: 3(1 + x)(x + -4)(x + 5) = 0 Reorder the terms: 3(1 + x)(-4 + x)(x + 5) = 0 Reorder the terms: 3(1 + x)(-4 + x)(5 + x) = 0 Multiply (1 + x) * (-4 + x) 3(1(-4 + x) + x(-4 + x))(5 + x) = 0 3((-4 * 1 + x * 1) + x(-4 + x))(5 + x) = 0 3((-4 + 1x) + x(-4 + x))(5 + x) = 0 3(-4 + 1x + (-4 * x + x * x))(5 + x) = 0 3(-4 + 1x + (-4x + x2))(5 + x) = 0 Combine like terms: 1x + -4x = -3x 3(-4 + -3x + x2)(5 + x) = 0 Multiply (-4 + -3x + x2) * (5 + x) 3(-4(5 + x) + -3x * (5 + x) + x2(5 + x)) = 0 3((5 * -4 + x * -4) + -3x * (5 + x) + x2(5 + x)) = 0 3((-20 + -4x) + -3x * (5 + x) + x2(5 + x)) = 0 3(-20 + -4x + (5 * -3x + x * -3x) + x2(5 + x)) = 0 3(-20 + -4x + (-15x + -3x2) + x2(5 + x)) = 0 3(-20 + -4x + -15x + -3x2 + (5 * x2 + x * x2)) = 0 3(-20 + -4x + -15x + -3x2 + (5x2 + x3)) = 0 Combine like terms: -4x + -15x = -19x 3(-20 + -19x + -3x2 + 5x2 + x3) = 0 Combine like terms: -3x2 + 5x2 = 2x2 3(-20 + -19x + 2x2 + x3) = 0 (-20 * 3 + -19x * 3 + 2x2 * 3 + x3 * 3) = 0 (-60 + -57x + 6x2 + 3x3) = 0 Solving -60 + -57x + 6x2 + 3x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-20 + -19x + 2x2 + x3) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-20 + -19x + 2x2 + x3)' equal to zero and attempt to solve: Simplifying -20 + -19x + 2x2 + x3 = 0 Solving -20 + -19x + 2x2 + x3 = 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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