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Simplifying 7x2 = -65x + -18 Reorder the terms: 7x2 = -18 + -65x Solving 7x2 = -18 + -65x Solving for variable 'x'. Reorder the terms: 18 + 65x + 7x2 = -18 + -65x + 18 + 65x Reorder the terms: 18 + 65x + 7x2 = -18 + 18 + -65x + 65x Combine like terms: -18 + 18 = 0 18 + 65x + 7x2 = 0 + -65x + 65x 18 + 65x + 7x2 = -65x + 65x Combine like terms: -65x + 65x = 0 18 + 65x + 7x2 = 0 Factor a trinomial. (9 + x)(2 + 7x) = 0Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 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 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Subproblem 2
Set the factor '(2 + 7x)' equal to zero and attempt to solve: Simplifying 2 + 7x = 0 Solving 2 + 7x = 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 + 7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 0 + -2 7x = 0 + -2 Combine like terms: 0 + -2 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857Solution
x = {-9, -0.2857142857}
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