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Simplifying 3x2 + 8x2 = -4x Combine like terms: 3x2 + 8x2 = 11x2 11x2 = -4x Solving 11x2 = -4x Solving for variable 'x'. Reorder the terms: 4x + 11x2 = -4x + 4x Combine like terms: -4x + 4x = 0 4x + 11x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(4 + 11x) = 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 '(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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