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Simplifying 14x2 + -65x + 66 = 0 Reorder the terms: 66 + -65x + 14x2 = 0 Solving 66 + -65x + 14x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -2x)(22 + -7x) = 0Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Subproblem 2
Set the factor '(22 + -7x)' equal to zero and attempt to solve: Simplifying 22 + -7x = 0 Solving 22 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -7x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -7x = 0 + -22 -7x = 0 + -22 Combine like terms: 0 + -22 = -22 -7x = -22 Divide each side by '-7'. x = 3.142857143 Simplifying x = 3.142857143Solution
x = {1.5, 3.142857143}
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