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Simplifying (X + -3) * x(x + -4) = 0 Reorder the terms: (-3 + X) * x(x + -4) = 0 Reorder the terms: (-3 + X) * x(-4 + x) = 0 Reorder the terms for easier multiplication: 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 + xX)) = 0 Reorder the terms: x(12 + -4X + -3x + xX) = 0 x(12 + -4X + -3x + xX) = 0 (12 * x + -4X * x + -3x * x + xX * x) = 0 (12x + -4xX + -3x2 + x2X) = 0 Solving 12x + -4xX + -3x2 + x2X = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(12 + -4X + -3x + xX) = 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 '(12 + -4X + -3x + xX)' equal to zero and attempt to solve: Simplifying 12 + -4X + -3x + xX = 0 Solving 12 + -4X + -3x + xX = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -4X + -3x + -12 + xX = 0 + -12 Reorder the terms: 12 + -12 + -4X + -3x + xX = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -4X + -3x + xX = 0 + -12 -4X + -3x + xX = 0 + -12 Combine like terms: 0 + -12 = -12 -4X + -3x + xX = -12 Add '4X' to each side of the equation. -4X + -3x + 4X + xX = -12 + 4X Reorder the terms: -4X + 4X + -3x + xX = -12 + 4X Combine like terms: -4X + 4X = 0 0 + -3x + xX = -12 + 4X -3x + xX = -12 + 4X 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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