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Simplifying 0 = 24x + -11x2 Solving 0 = 24x + -11x2 Solving for variable 'x'. Remove the zero: -24x + 11x2 = 24x + -11x2 + -24x + 11x2 Reorder the terms: -24x + 11x2 = 24x + -24x + -11x2 + 11x2 Combine like terms: 24x + -24x = 0 -24x + 11x2 = 0 + -11x2 + 11x2 -24x + 11x2 = -11x2 + 11x2 Combine like terms: -11x2 + 11x2 = 0 -24x + 11x2 = 0 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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