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Simplifying (-7x + 1)(9x + -8) = 0 Reorder the terms: (1 + -7x)(9x + -8) = 0 Reorder the terms: (1 + -7x)(-8 + 9x) = 0 Multiply (1 + -7x) * (-8 + 9x) (1(-8 + 9x) + -7x * (-8 + 9x)) = 0 ((-8 * 1 + 9x * 1) + -7x * (-8 + 9x)) = 0 ((-8 + 9x) + -7x * (-8 + 9x)) = 0 (-8 + 9x + (-8 * -7x + 9x * -7x)) = 0 (-8 + 9x + (56x + -63x2)) = 0 Combine like terms: 9x + 56x = 65x (-8 + 65x + -63x2) = 0 Solving -8 + 65x + -63x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + 9x)(1 + -7x) = 0Subproblem 1
Set the factor '(-8 + 9x)' equal to zero and attempt to solve: Simplifying -8 + 9x = 0 Solving -8 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 9x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 9x = 0 + 8 9x = 0 + 8 Combine like terms: 0 + 8 = 8 9x = 8 Divide each side by '9'. x = 0.8888888889 Simplifying x = 0.8888888889Subproblem 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 = {0.8888888889, 0.1428571429}
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