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Simplifying 3x(x + 1)(x + -5)(x + 4) = 0 Reorder the terms: 3x(1 + x)(x + -5)(x + 4) = 0 Reorder the terms: 3x(1 + x)(-5 + x)(x + 4) = 0 Reorder the terms: 3x(1 + x)(-5 + x)(4 + x) = 0 Multiply (1 + x) * (-5 + x) 3x(1(-5 + x) + x(-5 + x))(4 + x) = 0 3x((-5 * 1 + x * 1) + x(-5 + x))(4 + x) = 0 3x((-5 + 1x) + x(-5 + x))(4 + x) = 0 3x(-5 + 1x + (-5 * x + x * x))(4 + x) = 0 3x(-5 + 1x + (-5x + x2))(4 + x) = 0 Combine like terms: 1x + -5x = -4x 3x(-5 + -4x + x2)(4 + x) = 0 Multiply (-5 + -4x + x2) * (4 + x) 3x(-5(4 + x) + -4x * (4 + x) + x2(4 + x)) = 0 3x((4 * -5 + x * -5) + -4x * (4 + x) + x2(4 + x)) = 0 3x((-20 + -5x) + -4x * (4 + x) + x2(4 + x)) = 0 3x(-20 + -5x + (4 * -4x + x * -4x) + x2(4 + x)) = 0 3x(-20 + -5x + (-16x + -4x2) + x2(4 + x)) = 0 3x(-20 + -5x + -16x + -4x2 + (4 * x2 + x * x2)) = 0 3x(-20 + -5x + -16x + -4x2 + (4x2 + x3)) = 0 Combine like terms: -5x + -16x = -21x 3x(-20 + -21x + -4x2 + 4x2 + x3) = 0 Combine like terms: -4x2 + 4x2 = 0 3x(-20 + -21x + 0 + x3) = 0 3x(-20 + -21x + x3) = 0 (-20 * 3x + -21x * 3x + x3 * 3x) = 0 (-60x + -63x2 + 3x4) = 0 Solving -60x + -63x2 + 3x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(-20 + -21x + x3) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-20 + -21x + x3)' equal to zero and attempt to solve: Simplifying -20 + -21x + x3 = 0 Solving -20 + -21x + x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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