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Simplifying -3x(x + 3)(x + 0) = 0 Reorder the terms: -3x(3 + x)(x + 0) = 0 Reorder the terms: -3x(3 + x)(0 + x) = 0 Remove the zero: -3x(3 + x)(x) = 0 Reorder the terms for easier multiplication: -3x * x(3 + x) = 0 Multiply x * x -3x2(3 + x) = 0 (3 * -3x2 + x * -3x2) = 0 (-9x2 + -3x3) = 0 Solving -9x2 + -3x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-3x2'. -3x2(3 + x) = 0 Ignore the factor -3.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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