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Simplifying (8X + -7)(7X + 1) = 0 Reorder the terms: (-7 + 8X)(7X + 1) = 0 Reorder the terms: (-7 + 8X)(1 + 7X) = 0 Multiply (-7 + 8X) * (1 + 7X) (-7(1 + 7X) + 8X * (1 + 7X)) = 0 ((1 * -7 + 7X * -7) + 8X * (1 + 7X)) = 0 ((-7 + -49X) + 8X * (1 + 7X)) = 0 (-7 + -49X + (1 * 8X + 7X * 8X)) = 0 (-7 + -49X + (8X + 56X2)) = 0 Combine like terms: -49X + 8X = -41X (-7 + -41X + 56X2) = 0 Solving -7 + -41X + 56X2 = 0 Solving for variable 'X'. Factor a trinomial. (-1 + -7X)(7 + -8X) = 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 '(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 = 0.875Solution
X = {-0.1428571429, 0.875}
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