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Simplifying (9x + 2)(7x + -1) = 0 Reorder the terms: (2 + 9x)(7x + -1) = 0 Reorder the terms: (2 + 9x)(-1 + 7x) = 0 Multiply (2 + 9x) * (-1 + 7x) (2(-1 + 7x) + 9x * (-1 + 7x)) = 0 ((-1 * 2 + 7x * 2) + 9x * (-1 + 7x)) = 0 ((-2 + 14x) + 9x * (-1 + 7x)) = 0 (-2 + 14x + (-1 * 9x + 7x * 9x)) = 0 (-2 + 14x + (-9x + 63x2)) = 0 Combine like terms: 14x + -9x = 5x (-2 + 5x + 63x2) = 0 Solving -2 + 5x + 63x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -9x)(1 + -7x) = 0Subproblem 1
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 = -0.2222222222Subproblem 2
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 = 0.1428571429Solution
x = {-0.2222222222, 0.1428571429}
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