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Simplifying (2x + 9)(9x + 1) = 0 Reorder the terms: (9 + 2x)(9x + 1) = 0 Reorder the terms: (9 + 2x)(1 + 9x) = 0 Multiply (9 + 2x) * (1 + 9x) (9(1 + 9x) + 2x * (1 + 9x)) = 0 ((1 * 9 + 9x * 9) + 2x * (1 + 9x)) = 0 ((9 + 81x) + 2x * (1 + 9x)) = 0 (9 + 81x + (1 * 2x + 9x * 2x)) = 0 (9 + 81x + (2x + 18x2)) = 0 Combine like terms: 81x + 2x = 83x (9 + 83x + 18x2) = 0 Solving 9 + 83x + 18x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + 2x)(1 + 9x) = 0Subproblem 1
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 = -4.5Subproblem 2
Set the factor '(1 + 9x)' equal to zero and attempt to solve: Simplifying 1 + 9x = 0 Solving 1 + 9x = 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 + 9x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9x = 0 + -1 9x = 0 + -1 Combine like terms: 0 + -1 = -1 9x = -1 Divide each side by '9'. x = -0.1111111111 Simplifying x = -0.1111111111Solution
x = {-4.5, -0.1111111111}
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