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Simplifying 15x2 + -33x3 + -27x2 = 0 Reorder the terms: 15x2 + -27x2 + -33x3 = 0 Combine like terms: 15x2 + -27x2 = -12x2 -12x2 + -33x3 = 0 Solving -12x2 + -33x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-3x2'. -3x2(4 + 11x) = 0 Ignore the factor -3.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(4 + 11x)' equal to zero and attempt to solve: Simplifying 4 + 11x = 0 Solving 4 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 11x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 11x = 0 + -4 11x = 0 + -4 Combine like terms: 0 + -4 = -4 11x = -4 Divide each side by '11'. x = -0.3636363636 Simplifying x = -0.3636363636Solution
x = {0, -0.3636363636}
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