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Simplifying 170x + 54x2 + 4x3 = 0 Solving 170x + 54x2 + 4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(85 + 27x + 2x2) = 0 Factor a trinomial. 2x((17 + 2x)(5 + x)) = 0 Ignore the factor 2.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 '(17 + 2x)' equal to zero and attempt to solve: Simplifying 17 + 2x = 0 Solving 17 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 2x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 0 + -17 2x = 0 + -17 Combine like terms: 0 + -17 = -17 2x = -17 Divide each side by '2'. x = -8.5 Simplifying x = -8.5Subproblem 3
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {0, -8.5, -5}
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