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Simplifying 7x2 = -18 + -27x Solving 7x2 = -18 + -27x Solving for variable 'x'. Reorder the terms: 18 + 27x + 7x2 = -18 + -27x + 18 + 27x Reorder the terms: 18 + 27x + 7x2 = -18 + 18 + -27x + 27x Combine like terms: -18 + 18 = 0 18 + 27x + 7x2 = 0 + -27x + 27x 18 + 27x + 7x2 = -27x + 27x Combine like terms: -27x + 27x = 0 18 + 27x + 7x2 = 0 Factor a trinomial. (3 + x)(6 + 7x) = 0Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
Set the factor '(6 + 7x)' equal to zero and attempt to solve: Simplifying 6 + 7x = 0 Solving 6 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 0 + -6 7x = 0 + -6 Combine like terms: 0 + -6 = -6 7x = -6 Divide each side by '7'. x = -0.8571428571 Simplifying x = -0.8571428571Solution
x = {-3, -0.8571428571}
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