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Simplifying 2x2 + -40x + 9x2 = 0 Reorder the terms: -40x + 2x2 + 9x2 = 0 Combine like terms: 2x2 + 9x2 = 11x2 -40x + 11x2 = 0 Solving -40x + 11x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-40 + 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 '(-40 + 11x)' equal to zero and attempt to solve: Simplifying -40 + 11x = 0 Solving -40 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 11x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 11x = 0 + 40 11x = 0 + 40 Combine like terms: 0 + 40 = 40 11x = 40 Divide each side by '11'. x = 3.636363636 Simplifying x = 3.636363636Solution
x = {0, 3.636363636}
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