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Simplifying 3x3 = 3x2 + 330x Reorder the terms: 3x3 = 330x + 3x2 Solving 3x3 = 330x + 3x2 Solving for variable 'x'. Reorder the terms: -330x + -3x2 + 3x3 = 330x + 3x2 + -330x + -3x2 Reorder the terms: -330x + -3x2 + 3x3 = 330x + -330x + 3x2 + -3x2 Combine like terms: 330x + -330x = 0 -330x + -3x2 + 3x3 = 0 + 3x2 + -3x2 -330x + -3x2 + 3x3 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -330x + -3x2 + 3x3 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-110 + -1x + x2) = 0 Factor a trinomial. 3x((-10 + -1x)(11 + -1x)) = 0 Ignore the factor 3.Subproblem 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 '(-10 + -1x)' equal to zero and attempt to solve: Simplifying -10 + -1x = 0 Solving -10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10Subproblem 3
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {0, -10, 11}
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