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Simplifying (9x + 1)(8x + 7) = 0 Reorder the terms: (1 + 9x)(8x + 7) = 0 Reorder the terms: (1 + 9x)(7 + 8x) = 0 Multiply (1 + 9x) * (7 + 8x) (1(7 + 8x) + 9x * (7 + 8x)) = 0 ((7 * 1 + 8x * 1) + 9x * (7 + 8x)) = 0 ((7 + 8x) + 9x * (7 + 8x)) = 0 (7 + 8x + (7 * 9x + 8x * 9x)) = 0 (7 + 8x + (63x + 72x2)) = 0 Combine like terms: 8x + 63x = 71x (7 + 71x + 72x2) = 0 Solving 7 + 71x + 72x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + 8x)(1 + 9x) = 0Subproblem 1
Set the factor '(7 + 8x)' equal to zero and attempt to solve: Simplifying 7 + 8x = 0 Solving 7 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 0 + -7 8x = 0 + -7 Combine like terms: 0 + -7 = -7 8x = -7 Divide each side by '8'. x = -0.875 Simplifying x = -0.875Subproblem 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 = {-0.875, -0.1111111111}
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