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Simplifying 26x2 + -19x + 3 = 0 Reorder the terms: 3 + -19x + 26x2 = 0 Solving 3 + -19x + 26x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -13x)(1 + -2x) = 0Subproblem 1
Set the factor '(3 + -13x)' equal to zero and attempt to solve: Simplifying 3 + -13x = 0 Solving 3 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -13x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -13x = 0 + -3 -13x = 0 + -3 Combine like terms: 0 + -3 = -3 -13x = -3 Divide each side by '-13'. x = 0.2307692308 Simplifying x = 0.2307692308Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {0.2307692308, 0.5}
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