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Simplifying 14x2 = 65x + -9 Reorder the terms: 14x2 = -9 + 65x Solving 14x2 = -9 + 65x Solving for variable 'x'. Reorder the terms: 9 + -65x + 14x2 = -9 + 65x + 9 + -65x Reorder the terms: 9 + -65x + 14x2 = -9 + 9 + 65x + -65x Combine like terms: -9 + 9 = 0 9 + -65x + 14x2 = 0 + 65x + -65x 9 + -65x + 14x2 = 65x + -65x Combine like terms: 65x + -65x = 0 9 + -65x + 14x2 = 0 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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