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Simplifying 0 = 30x3 + 5x2 + -25x Reorder the terms: 0 = -25x + 5x2 + 30x3 Solving 0 = -25x + 5x2 + 30x3 Solving for variable 'x'. Remove the zero: 25x + -5x2 + -30x3 = -25x + 5x2 + 30x3 + 25x + -5x2 + -30x3 Reorder the terms: 25x + -5x2 + -30x3 = -25x + 25x + 5x2 + -5x2 + 30x3 + -30x3 Combine like terms: -25x + 25x = 0 25x + -5x2 + -30x3 = 0 + 5x2 + -5x2 + 30x3 + -30x3 25x + -5x2 + -30x3 = 5x2 + -5x2 + 30x3 + -30x3 Combine like terms: 5x2 + -5x2 = 0 25x + -5x2 + -30x3 = 0 + 30x3 + -30x3 25x + -5x2 + -30x3 = 30x3 + -30x3 Combine like terms: 30x3 + -30x3 = 0 25x + -5x2 + -30x3 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(5 + -1x + -6x2) = 0 Factor a trinomial. 5x((5 + -6x)(1 + x)) = 0 Ignore the factor 5.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 + -6x)' equal to zero and attempt to solve: Simplifying 5 + -6x = 0 Solving 5 + -6x = 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 + -6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 0 + -5 -6x = 0 + -5 Combine like terms: 0 + -5 = -5 -6x = -5 Divide each side by '-6'. x = 0.8333333333 Simplifying x = 0.8333333333Subproblem 3
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {0, 0.8333333333, -1}
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