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Simplifying X(x + 4)(x + -1) = 0 Reorder the terms: X(4 + x)(x + -1) = 0 Reorder the terms: X(4 + x)(-1 + x) = 0 Multiply (4 + x) * (-1 + x) X(4(-1 + x) + x(-1 + x)) = 0 X((-1 * 4 + x * 4) + x(-1 + x)) = 0 X((-4 + 4x) + x(-1 + x)) = 0 X(-4 + 4x + (-1 * x + x * x)) = 0 X(-4 + 4x + (-1x + x2)) = 0 Combine like terms: 4x + -1x = 3x X(-4 + 3x + x2) = 0 (-4 * X + 3x * X + x2 * X) = 0 (-4X + 3xX + x2X) = 0 Solving -4X + 3xX + x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'X'. X(-4 + 3x + x2) = 0 Factor a trinomial. X((-4 + -1x)(1 + -1x)) = 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 '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Add 'x' to each side of the equation. -1x + x = 4 + x Combine like terms: -1x + x = 0 0 = 4 + x Simplifying 0 = 4 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Add 'x' to each side of the equation. -1x + x = -1 + x Combine like terms: -1x + x = 0 0 = -1 + x Simplifying 0 = -1 + x 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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