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Simplifying x(x + 8)(x + 3) = 0 Reorder the terms: x(8 + x)(x + 3) = 0 Reorder the terms: 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 + x2)) = 0 Combine like terms: 8x + 3x = 11x x(24 + 11x + x2) = 0 (24 * x + 11x * x + x2 * x) = 0 (24x + 11x2 + x3) = 0 Solving 24x + 11x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(24 + 11x + x2) = 0 Factor a trinomial. x((8 + x)(3 + x)) = 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 '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Subproblem 3
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {0, -8, -3}
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