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Simplifying 3x3 = 4x2 + 15x Reorder the terms: 3x3 = 15x + 4x2 Solving 3x3 = 15x + 4x2 Solving for variable 'x'. Reorder the terms: -15x + -4x2 + 3x3 = 15x + 4x2 + -15x + -4x2 Reorder the terms: -15x + -4x2 + 3x3 = 15x + -15x + 4x2 + -4x2 Combine like terms: 15x + -15x = 0 -15x + -4x2 + 3x3 = 0 + 4x2 + -4x2 -15x + -4x2 + 3x3 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -15x + -4x2 + 3x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-15 + -4x + 3x2) = 0 Factor a trinomial. x((-5 + -3x)(3 + -1x)) = 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 '(-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 = -1.666666667Subproblem 3
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {0, -1.666666667, 3}
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