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Simplifying 11x2 = 26x + -1x3 Solving 11x2 = 26x + -1x3 Solving for variable 'x'. Reorder the terms: -26x + 11x2 + x3 = 26x + -1x3 + -26x + x3 Reorder the terms: -26x + 11x2 + x3 = 26x + -26x + -1x3 + x3 Combine like terms: 26x + -26x = 0 -26x + 11x2 + x3 = 0 + -1x3 + x3 -26x + 11x2 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 -26x + 11x2 + x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-26 + 11x + x2) = 0 Factor a trinomial. x((-13 + -1x)(2 + -1x)) = 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 '(-13 + -1x)' equal to zero and attempt to solve: Simplifying -13 + -1x = 0 Solving -13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = 0 + 13 -1x = 0 + 13 Combine like terms: 0 + 13 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13Subproblem 3
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0, -13, 2}
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