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Simplifying 9x2 + -11x = 5x Reorder the terms: -11x + 9x2 = 5x Solving -11x + 9x2 = 5x Solving for variable 'x'. Reorder the terms: -11x + -5x + 9x2 = 5x + -5x Combine like terms: -11x + -5x = -16x -16x + 9x2 = 5x + -5x Combine like terms: 5x + -5x = 0 -16x + 9x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-16 + 9x) = 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 '(-16 + 9x)' equal to zero and attempt to solve: Simplifying -16 + 9x = 0 Solving -16 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 9x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 9x = 0 + 16 9x = 0 + 16 Combine like terms: 0 + 16 = 16 9x = 16 Divide each side by '9'. x = 1.777777778 Simplifying x = 1.777777778Solution
x = {0, 1.777777778}
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