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Simplifying 7x2 + -33x + 38 = 0 Reorder the terms: 38 + -33x + 7x2 = 0 Solving 38 + -33x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -1x)(19 + -7x) = 0Subproblem 1
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 = 2Subproblem 2
Set the factor '(19 + -7x)' equal to zero and attempt to solve: Simplifying 19 + -7x = 0 Solving 19 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -7x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -7x = 0 + -19 -7x = 0 + -19 Combine like terms: 0 + -19 = -19 -7x = -19 Divide each side by '-7'. x = 2.714285714 Simplifying x = 2.714285714Solution
x = {2, 2.714285714}
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