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Simplifying (7x + 9)(x + 1) = 0 Reorder the terms: (9 + 7x)(x + 1) = 0 Reorder the terms: (9 + 7x)(1 + x) = 0 Multiply (9 + 7x) * (1 + x) (9(1 + x) + 7x * (1 + x)) = 0 ((1 * 9 + x * 9) + 7x * (1 + x)) = 0 ((9 + 9x) + 7x * (1 + x)) = 0 (9 + 9x + (1 * 7x + x * 7x)) = 0 (9 + 9x + (7x + 7x2)) = 0 Combine like terms: 9x + 7x = 16x (9 + 16x + 7x2) = 0 Solving 9 + 16x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + 7x)(1 + x) = 0Subproblem 1
Set the factor '(9 + 7x)' equal to zero and attempt to solve: Simplifying 9 + 7x = 0 Solving 9 + 7x = 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 + 7x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = 0 + -9 7x = 0 + -9 Combine like terms: 0 + -9 = -9 7x = -9 Divide each side by '7'. x = -1.285714286 Simplifying x = -1.285714286Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-1.285714286, -1}
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