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Simplifying 26x2 + -69x + 10 = 0 Reorder the terms: 10 + -69x + 26x2 = 0 Solving 10 + -69x + 26x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -13x)(5 + -2x) = 0Subproblem 1
Set the factor '(2 + -13x)' equal to zero and attempt to solve: Simplifying 2 + -13x = 0 Solving 2 + -13x = 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 + -13x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -13x = 0 + -2 -13x = 0 + -2 Combine like terms: 0 + -2 = -2 -13x = -2 Divide each side by '-13'. x = 0.1538461538 Simplifying x = 0.1538461538Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {0.1538461538, 2.5}
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