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Simplifying 3x2(x + 3) + -4x3 = 12x2 Reorder the terms: 3x2(3 + x) + -4x3 = 12x2 (3 * 3x2 + x * 3x2) + -4x3 = 12x2 (9x2 + 3x3) + -4x3 = 12x2 Combine like terms: 3x3 + -4x3 = -1x3 9x2 + -1x3 = 12x2 Solving 9x2 + -1x3 = 12x2 Solving for variable 'x'. Reorder the terms: 9x2 + -12x2 + -1x3 = 12x2 + -12x2 Combine like terms: 9x2 + -12x2 = -3x2 -3x2 + -1x3 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -3x2 + -1x3 = 0 Factor out the Greatest Common Factor (GCF), '-1x2'. -1x2(3 + x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
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, -3}
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