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Simplifying X(x + 4)(x + -3) = 0 Reorder the terms: X(4 + x)(x + -3) = 0 Reorder the terms: X(4 + x)(-3 + x) = 0 Multiply (4 + x) * (-3 + x) X(4(-3 + x) + x(-3 + x)) = 0 X((-3 * 4 + x * 4) + x(-3 + x)) = 0 X((-12 + 4x) + x(-3 + x)) = 0 X(-12 + 4x + (-3 * x + x * x)) = 0 X(-12 + 4x + (-3x + x2)) = 0 Combine like terms: 4x + -3x = 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 + x + x2) = 0 Factor a trinomial. X((-4 + -1x)(3 + -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 '(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.Solution
X = {0}
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