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Simplifying 11x2 + -3(-8x) = 0 Remove parenthesis around (-8x) 11x2 + -3 * -8x = 0 Multiply -3 * -8 11x2 + 24x = 0 Reorder the terms: 24x + 11x2 = 0 Solving 24x + 11x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(24 + 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 '(24 + 11x)' equal to zero and attempt to solve: Simplifying 24 + 11x = 0 Solving 24 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 11x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 11x = 0 + -24 11x = 0 + -24 Combine like terms: 0 + -24 = -24 11x = -24 Divide each side by '11'. x = -2.181818182 Simplifying x = -2.181818182Solution
x = {0, -2.181818182}
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