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Simplifying x(x + 3) + -2(x2 + -4) + -8 = 0 Reorder the terms: x(3 + x) + -2(x2 + -4) + -8 = 0 (3 * x + x * x) + -2(x2 + -4) + -8 = 0 (3x + x2) + -2(x2 + -4) + -8 = 0 Reorder the terms: 3x + x2 + -2(-4 + x2) + -8 = 0 3x + x2 + (-4 * -2 + x2 * -2) + -8 = 0 3x + x2 + (8 + -2x2) + -8 = 0 Reorder the terms: 8 + -8 + 3x + x2 + -2x2 = 0 Combine like terms: 8 + -8 = 0 0 + 3x + x2 + -2x2 = 0 3x + x2 + -2x2 = 0 Combine like terms: x2 + -2x2 = -1x2 3x + -1x2 = 0 Solving 3x + -1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(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 '(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 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {0, 3}
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