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Simplifying (7x + -1)(9x + -2) = 0 Reorder the terms: (-1 + 7x)(9x + -2) = 0 Reorder the terms: (-1 + 7x)(-2 + 9x) = 0 Multiply (-1 + 7x) * (-2 + 9x) (-1(-2 + 9x) + 7x * (-2 + 9x)) = 0 ((-2 * -1 + 9x * -1) + 7x * (-2 + 9x)) = 0 ((2 + -9x) + 7x * (-2 + 9x)) = 0 (2 + -9x + (-2 * 7x + 9x * 7x)) = 0 (2 + -9x + (-14x + 63x2)) = 0 Combine like terms: -9x + -14x = -23x (2 + -23x + 63x2) = 0 Solving 2 + -23x + 63x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -7x)(2 + -9x) = 0Subproblem 1
Set the factor '(1 + -7x)' equal to zero and attempt to solve: Simplifying 1 + -7x = 0 Solving 1 + -7x = 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 + -7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 0 + -1 -7x = 0 + -1 Combine like terms: 0 + -1 = -1 -7x = -1 Divide each side by '-7'. x = 0.1428571429 Simplifying x = 0.1428571429Subproblem 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 = {0.1428571429, 0.2222222222}
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