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Simplifying 26x2 + 27x + -3443 = 0 Reorder the terms: -3443 + 27x + 26x2 = 0 Solving -3443 + 27x + 26x2 = 0 Solving for variable 'x'. Factor a trinomial. (-313 + -26x)(11 + -1x) = 0Subproblem 1
Set the factor '(-313 + -26x)' equal to zero and attempt to solve: Simplifying -313 + -26x = 0 Solving -313 + -26x = 0 Move all terms containing x to the left, all other terms to the right. Add '313' to each side of the equation. -313 + 313 + -26x = 0 + 313 Combine like terms: -313 + 313 = 0 0 + -26x = 0 + 313 -26x = 0 + 313 Combine like terms: 0 + 313 = 313 -26x = 313 Divide each side by '-26'. x = -12.03846154 Simplifying x = -12.03846154Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {-12.03846154, 11}
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