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Simplifying 6x3 + 40x2 = -50x Reorder the terms: 40x2 + 6x3 = -50x Solving 40x2 + 6x3 = -50x Solving for variable 'x'. Reorder the terms: 50x + 40x2 + 6x3 = -50x + 50x Combine like terms: -50x + 50x = 0 50x + 40x2 + 6x3 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(25 + 20x + 3x2) = 0 Factor a trinomial. 2x((5 + x)(5 + 3x)) = 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 '(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 = -5Subproblem 3
Set the factor '(5 + 3x)' equal to zero and attempt to solve: Simplifying 5 + 3x = 0 Solving 5 + 3x = 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 + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 0 + -5 3x = 0 + -5 Combine like terms: 0 + -5 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667Solution
x = {0, -5, -1.666666667}
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