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Simplifying 10x2 + 1x2 = 12x Combine like terms: 10x2 + 1x2 = 11x2 11x2 = 12x Solving 11x2 = 12x Solving for variable 'x'. Reorder the terms: -12x + 11x2 = 12x + -12x Combine like terms: 12x + -12x = 0 -12x + 11x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-12 + 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 '(-12 + 11x)' equal to zero and attempt to solve: Simplifying -12 + 11x = 0 Solving -12 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 11x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 11x = 0 + 12 11x = 0 + 12 Combine like terms: 0 + 12 = 12 11x = 12 Divide each side by '11'. x = 1.090909091 Simplifying x = 1.090909091Solution
x = {0, 1.090909091}
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