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Simplifying 11x2 = x2 + 8x Reorder the terms: 11x2 = 8x + x2 Solving 11x2 = 8x + x2 Solving for variable 'x'. Reorder the terms: -8x + 11x2 + -1x2 = 8x + x2 + -8x + -1x2 Combine like terms: 11x2 + -1x2 = 10x2 -8x + 10x2 = 8x + x2 + -8x + -1x2 Reorder the terms: -8x + 10x2 = 8x + -8x + x2 + -1x2 Combine like terms: 8x + -8x = 0 -8x + 10x2 = 0 + x2 + -1x2 -8x + 10x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -8x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-4 + 5x) = 0 Ignore the factor 2.Subproblem 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 '(-4 + 5x)' equal to zero and attempt to solve: Simplifying -4 + 5x = 0 Solving -4 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 0 + 4 5x = 0 + 4 Combine like terms: 0 + 4 = 4 5x = 4 Divide each side by '5'. x = 0.8 Simplifying x = 0.8Solution
x = {0, 0.8}
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