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Simplifying F(x) = 3x(x + 5)(4x + -1) Multiply F * x xF = 3x(x + 5)(4x + -1) Reorder the terms: xF = 3x(5 + x)(4x + -1) Reorder the terms: xF = 3x(5 + x)(-1 + 4x) Multiply (5 + x) * (-1 + 4x) xF = 3x(5(-1 + 4x) + x(-1 + 4x)) xF = 3x((-1 * 5 + 4x * 5) + x(-1 + 4x)) xF = 3x((-5 + 20x) + x(-1 + 4x)) xF = 3x(-5 + 20x + (-1 * x + 4x * x)) xF = 3x(-5 + 20x + (-1x + 4x2)) Combine like terms: 20x + -1x = 19x xF = 3x(-5 + 19x + 4x2) xF = (-5 * 3x + 19x * 3x + 4x2 * 3x) xF = (-15x + 57x2 + 12x3) Solving xF = -15x + 57x2 + 12x3 Solving for variable 'x'. Reorder the terms: 15x + xF + -57x2 + -12x3 = -15x + 57x2 + 12x3 + 15x + -57x2 + -12x3 Reorder the terms: 15x + xF + -57x2 + -12x3 = -15x + 15x + 57x2 + -57x2 + 12x3 + -12x3 Combine like terms: -15x + 15x = 0 15x + xF + -57x2 + -12x3 = 0 + 57x2 + -57x2 + 12x3 + -12x3 15x + xF + -57x2 + -12x3 = 57x2 + -57x2 + 12x3 + -12x3 Combine like terms: 57x2 + -57x2 = 0 15x + xF + -57x2 + -12x3 = 0 + 12x3 + -12x3 15x + xF + -57x2 + -12x3 = 12x3 + -12x3 Combine like terms: 12x3 + -12x3 = 0 15x + xF + -57x2 + -12x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(15 + F + -57x + -12x2) = 0Subproblem 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 '(15 + F + -57x + -12x2)' equal to zero and attempt to solve: Simplifying 15 + F + -57x + -12x2 = 0 Solving 15 + F + -57x + -12x2 = 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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