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Simplifying (X + 1)(X + -5) = 0 Reorder the terms: (1 + X)(X + -5) = 0 Reorder the terms: (1 + X)(-5 + X) = 0 Multiply (1 + X) * (-5 + X) (1(-5 + X) + X(-5 + X)) = 0 ((-5 * 1 + X * 1) + X(-5 + X)) = 0 ((-5 + 1X) + X(-5 + X)) = 0 (-5 + 1X + (-5 * X + X * X)) = 0 (-5 + 1X + (-5X + X2)) = 0 Combine like terms: 1X + -5X = -4X (-5 + -4X + X2) = 0 Solving -5 + -4X + X2 = 0 Solving for variable 'X'. Factor a trinomial. (-1 + -1X)(5 + -1X) = 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 '(5 + -1X)' equal to zero and attempt to solve: Simplifying 5 + -1X = 0 Solving 5 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1X = 0 + -5 -1X = 0 + -5 Combine like terms: 0 + -5 = -5 -1X = -5 Divide each side by '-1'. X = 5 Simplifying X = 5Solution
X = {-1, 5}
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