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Simplifying (X + 8) * x(x + 3) = 0 Reorder the terms: (8 + X) * x(x + 3) = 0 Reorder the terms: (8 + X) * x(3 + x) = 0 Reorder the terms for easier multiplication: x(8 + X)(3 + x) = 0 Multiply (8 + X) * (3 + x) x(8(3 + x) + X(3 + x)) = 0 x((3 * 8 + x * 8) + X(3 + x)) = 0 x((24 + 8x) + X(3 + x)) = 0 x(24 + 8x + (3 * X + x * X)) = 0 x(24 + 8x + (3X + xX)) = 0 Reorder the terms: x(24 + 3X + 8x + xX) = 0 x(24 + 3X + 8x + xX) = 0 (24 * x + 3X * x + 8x * x + xX * x) = 0 (24x + 3xX + 8x2 + x2X) = 0 Solving 24x + 3xX + 8x2 + x2X = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(24 + 3X + 8x + 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 '(24 + 3X + 8x + xX)' equal to zero and attempt to solve: Simplifying 24 + 3X + 8x + xX = 0 Solving 24 + 3X + 8x + xX = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 3X + 8x + -24 + xX = 0 + -24 Reorder the terms: 24 + -24 + 3X + 8x + xX = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 3X + 8x + xX = 0 + -24 3X + 8x + xX = 0 + -24 Combine like terms: 0 + -24 = -24 3X + 8x + xX = -24 Add '-3X' to each side of the equation. 3X + 8x + -3X + xX = -24 + -3X Reorder the terms: 3X + -3X + 8x + xX = -24 + -3X Combine like terms: 3X + -3X = 0 0 + 8x + xX = -24 + -3X 8x + xX = -24 + -3X 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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