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Simplifying 8x2 + 10 + -11x = 12x + 10 Reorder the terms: 10 + -11x + 8x2 = 12x + 10 Reorder the terms: 10 + -11x + 8x2 = 10 + 12x Add '-10' to each side of the equation. 10 + -11x + -10 + 8x2 = 10 + -10 + 12x Reorder the terms: 10 + -10 + -11x + 8x2 = 10 + -10 + 12x Combine like terms: 10 + -10 = 0 0 + -11x + 8x2 = 10 + -10 + 12x -11x + 8x2 = 10 + -10 + 12x Combine like terms: 10 + -10 = 0 -11x + 8x2 = 0 + 12x -11x + 8x2 = 12x Solving -11x + 8x2 = 12x Solving for variable 'x'. Reorder the terms: -11x + -12x + 8x2 = 12x + -12x Combine like terms: -11x + -12x = -23x -23x + 8x2 = 12x + -12x Combine like terms: 12x + -12x = 0 -23x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-23 + 8x) = 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 '(-23 + 8x)' equal to zero and attempt to solve: Simplifying -23 + 8x = 0 Solving -23 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 8x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 8x = 0 + 23 8x = 0 + 23 Combine like terms: 0 + 23 = 23 8x = 23 Divide each side by '8'. x = 2.875 Simplifying x = 2.875Solution
x = {0, 2.875}
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