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Simplifying (-1X + 1)(X + 6) = 0 Reorder the terms: (1 + -1X)(X + 6) = 0 Reorder the terms: (1 + -1X)(6 + X) = 0 Multiply (1 + -1X) * (6 + X) (1(6 + X) + -1X * (6 + X)) = 0 ((6 * 1 + X * 1) + -1X * (6 + X)) = 0 ((6 + 1X) + -1X * (6 + X)) = 0 (6 + 1X + (6 * -1X + X * -1X)) = 0 (6 + 1X + (-6X + -1X2)) = 0 Combine like terms: 1X + -6X = -5X (6 + -5X + -1X2) = 0 Solving 6 + -5X + -1X2 = 0 Solving for variable 'X'. Factor a trinomial. (1 + -1X)(6 + X) = 0Subproblem 1
Set the factor '(1 + -1X)' equal to zero and attempt to solve: Simplifying 1 + -1X = 0 Solving 1 + -1X = 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 + -1X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1X = 0 + -1 -1X = 0 + -1 Combine like terms: 0 + -1 = -1 -1X = -1 Divide each side by '-1'. X = 1 Simplifying X = 1Subproblem 2
Set the factor '(6 + X)' equal to zero and attempt to solve: Simplifying 6 + X = 0 Solving 6 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + X = 0 + -6 Combine like terms: 6 + -6 = 0 0 + X = 0 + -6 X = 0 + -6 Combine like terms: 0 + -6 = -6 X = -6 Simplifying X = -6Solution
X = {1, -6}
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