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Simplifying 9x2 + 38x + 7 = -1 Reorder the terms: 7 + 38x + 9x2 = -1 Solving 7 + 38x + 9x2 = -1 Solving for variable 'x'. Reorder the terms: 7 + 1 + 38x + 9x2 = -1 + 1 Combine like terms: 7 + 1 = 8 8 + 38x + 9x2 = -1 + 1 Combine like terms: -1 + 1 = 0 8 + 38x + 9x2 = 0 Factor a trinomial. (4 + x)(2 + 9x) = 0Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
Set the factor '(2 + 9x)' equal to zero and attempt to solve: Simplifying 2 + 9x = 0 Solving 2 + 9x = 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 + 9x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9x = 0 + -2 9x = 0 + -2 Combine like terms: 0 + -2 = -2 9x = -2 Divide each side by '9'. x = -0.2222222222 Simplifying x = -0.2222222222Solution
x = {-4, -0.2222222222}
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