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Simplifying 14X2 + -65X + 9 = 0 Reorder the terms: 9 + -65X + 14X2 = 0 Solving 9 + -65X + 14X2 = 0 Solving for variable 'X'. Factor a trinomial. (1 + -7X)(9 + -2X) = 0Subproblem 1
Set the factor '(1 + -7X)' equal to zero and attempt to solve: Simplifying 1 + -7X = 0 Solving 1 + -7X = 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 + -7X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7X = 0 + -1 -7X = 0 + -1 Combine like terms: 0 + -1 = -1 -7X = -1 Divide each side by '-7'. X = 0.1428571429 Simplifying X = 0.1428571429Subproblem 2
Set the factor '(9 + -2X)' equal to zero and attempt to solve: Simplifying 9 + -2X = 0 Solving 9 + -2X = 0 Move all terms containing X to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2X = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2X = 0 + -9 -2X = 0 + -9 Combine like terms: 0 + -9 = -9 -2X = -9 Divide each side by '-2'. X = 4.5 Simplifying X = 4.5Solution
X = {0.1428571429, 4.5}
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