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Simplifying 3x2(3x2 + 6x + -9) = 0 Reorder the terms: 3x2(-9 + 6x + 3x2) = 0 (-9 * 3x2 + 6x * 3x2 + 3x2 * 3x2) = 0 (-27x2 + 18x3 + 9x4) = 0 Solving -27x2 + 18x3 + 9x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '9x2'. 9x2(-3 + 2x + x2) = 0 Factor a trinomial. 9x2((-3 + -1x)(1 + -1x)) = 0 Ignore the factor 9.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 + -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 = -3Subproblem 3
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0, -3, 1}
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