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Simplifying (9x + -1)(6x + -7) = 0 Reorder the terms: (-1 + 9x)(6x + -7) = 0 Reorder the terms: (-1 + 9x)(-7 + 6x) = 0 Multiply (-1 + 9x) * (-7 + 6x) (-1(-7 + 6x) + 9x * (-7 + 6x)) = 0 ((-7 * -1 + 6x * -1) + 9x * (-7 + 6x)) = 0 ((7 + -6x) + 9x * (-7 + 6x)) = 0 (7 + -6x + (-7 * 9x + 6x * 9x)) = 0 (7 + -6x + (-63x + 54x2)) = 0 Combine like terms: -6x + -63x = -69x (7 + -69x + 54x2) = 0 Solving 7 + -69x + 54x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -9x)(7 + -6x) = 0Subproblem 1
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 = 0.1111111111Subproblem 2
Set the factor '(7 + -6x)' equal to zero and attempt to solve: Simplifying 7 + -6x = 0 Solving 7 + -6x = 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 + -6x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 0 + -7 -6x = 0 + -7 Combine like terms: 0 + -7 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667Solution
x = {0.1111111111, 1.166666667}
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