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Simplifying (X + 7)(X + 1) = 0 Reorder the terms: (7 + X)(X + 1) = 0 Reorder the terms: (7 + X)(1 + X) = 0 Multiply (7 + X) * (1 + X) (7(1 + X) + X(1 + X)) = 0 ((1 * 7 + X * 7) + X(1 + X)) = 0 ((7 + 7X) + X(1 + X)) = 0 (7 + 7X + (1 * X + X * X)) = 0 (7 + 7X + (1X + X2)) = 0 Combine like terms: 7X + 1X = 8X (7 + 8X + X2) = 0 Solving 7 + 8X + X2 = 0 Solving for variable 'X'. Factor a trinomial. (7 + X)(1 + X) = 0Subproblem 1
Set the factor '(7 + X)' equal to zero and attempt to solve: Simplifying 7 + X = 0 Solving 7 + X = 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 + X = 0 + -7 Combine like terms: 7 + -7 = 0 0 + X = 0 + -7 X = 0 + -7 Combine like terms: 0 + -7 = -7 X = -7 Simplifying X = -7Subproblem 2
Set the factor '(1 + X)' equal to zero and attempt to solve: Simplifying 1 + X = 0 Solving 1 + X = 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 + X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + X = 0 + -1 X = 0 + -1 Combine like terms: 0 + -1 = -1 X = -1 Simplifying X = -1Solution
X = {-7, -1}
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