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Simplifying 3x3 + 89x2 + 58x = 0 Reorder the terms: 58x + 89x2 + 3x3 = 0 Solving 58x + 89x2 + 3x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(58 + 89x + 3x2) = 0 Factor a trinomial. x((29 + x)(2 + 3x)) = 0Subproblem 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 '(29 + x)' equal to zero and attempt to solve: Simplifying 29 + x = 0 Solving 29 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + x = 0 + -29 x = 0 + -29 Combine like terms: 0 + -29 = -29 x = -29 Simplifying x = -29Subproblem 3
Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667Solution
x = {0, -29, -0.6666666667}
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