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Simplifying 3x3 + 120x2 = -1200x Reorder the terms: 120x2 + 3x3 = -1200x Solving 120x2 + 3x3 = -1200x Solving for variable 'x'. Reorder the terms: 1200x + 120x2 + 3x3 = -1200x + 1200x Combine like terms: -1200x + 1200x = 0 1200x + 120x2 + 3x3 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(400 + 40x + x2) = 0 Factor a trinomial. 3x((20 + x)(20 + x)) = 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 '(20 + x)' equal to zero and attempt to solve: Simplifying 20 + x = 0 Solving 20 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + x = 0 + -20 x = 0 + -20 Combine like terms: 0 + -20 = -20 x = -20 Simplifying x = -20Subproblem 3
Set the factor '(20 + x)' equal to zero and attempt to solve: Simplifying 20 + x = 0 Solving 20 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + x = 0 + -20 x = 0 + -20 Combine like terms: 0 + -20 = -20 x = -20 Simplifying x = -20Solution
x = {0, -20, -20}
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