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Simplifying 7x2 + -33x + 26 = 0 Reorder the terms: 26 + -33x + 7x2 = 0 Solving 26 + -33x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -1x)(26 + -7x) = 0Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(26 + -7x)' equal to zero and attempt to solve: Simplifying 26 + -7x = 0 Solving 26 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -7x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -7x = 0 + -26 -7x = 0 + -26 Combine like terms: 0 + -26 = -26 -7x = -26 Divide each side by '-7'. x = 3.714285714 Simplifying x = 3.714285714Solution
x = {1, 3.714285714}
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