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Simplifying 11x2 + -8x + 6x2 = 0 Reorder the terms: -8x + 11x2 + 6x2 = 0 Combine like terms: 11x2 + 6x2 = 17x2 -8x + 17x2 = 0 Solving -8x + 17x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-8 + 17x) = 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 '(-8 + 17x)' equal to zero and attempt to solve: Simplifying -8 + 17x = 0 Solving -8 + 17x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 17x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 17x = 0 + 8 17x = 0 + 8 Combine like terms: 0 + 8 = 8 17x = 8 Divide each side by '17'. x = 0.4705882353 Simplifying x = 0.4705882353Solution
x = {0, 0.4705882353}
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