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Simplifying X(x + 3)(x + -4) = 0 Reorder the terms: X(3 + x)(x + -4) = 0 Reorder the terms: X(3 + x)(-4 + x) = 0 Multiply (3 + x) * (-4 + x) X(3(-4 + x) + x(-4 + x)) = 0 X((-4 * 3 + x * 3) + x(-4 + x)) = 0 X((-12 + 3x) + x(-4 + x)) = 0 X(-12 + 3x + (-4 * x + x * x)) = 0 X(-12 + 3x + (-4x + x2)) = 0 Combine like terms: 3x + -4x = -1x X(-12 + -1x + x2) = 0 (-12 * X + -1x * X + x2 * X) = 0 (-12X + -1xX + x2X) = 0 Solving -12X + -1xX + 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(-12 + -1x + x2) = 0 Factor a trinomial. X((-3 + -1x)(4 + -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 '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Add 'x' to each side of the equation. -1x + x = 3 + x Combine like terms: -1x + x = 0 0 = 3 + x Simplifying 0 = 3 + 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 '(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.Solution
X = {0}
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