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Simplifying -60x3 = 25x2 + -15x Reorder the terms: -60x3 = -15x + 25x2 Solving -60x3 = -15x + 25x2 Solving for variable 'x'. Reorder the terms: 15x + -25x2 + -60x3 = -15x + 25x2 + 15x + -25x2 Reorder the terms: 15x + -25x2 + -60x3 = -15x + 15x + 25x2 + -25x2 Combine like terms: -15x + 15x = 0 15x + -25x2 + -60x3 = 0 + 25x2 + -25x2 15x + -25x2 + -60x3 = 25x2 + -25x2 Combine like terms: 25x2 + -25x2 = 0 15x + -25x2 + -60x3 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(3 + -5x + -12x2) = 0 Factor a trinomial. 5x((1 + -3x)(3 + 4x)) = 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 '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 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 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Subproblem 3
Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Solution
x = {0, 0.3333333333, -0.75}
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