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Simplifying (X + 36)(X + -1) = 0 Reorder the terms: (36 + X)(X + -1) = 0 Reorder the terms: (36 + X)(-1 + X) = 0 Multiply (36 + X) * (-1 + X) (36(-1 + X) + X(-1 + X)) = 0 ((-1 * 36 + X * 36) + X(-1 + X)) = 0 ((-36 + 36X) + X(-1 + X)) = 0 (-36 + 36X + (-1 * X + X * X)) = 0 (-36 + 36X + (-1X + X2)) = 0 Combine like terms: 36X + -1X = 35X (-36 + 35X + X2) = 0 Solving -36 + 35X + X2 = 0 Solving for variable 'X'. Factor a trinomial. (-36 + -1X)(1 + -1X) = 0Subproblem 1
Set the factor '(-36 + -1X)' equal to zero and attempt to solve: Simplifying -36 + -1X = 0 Solving -36 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -1X = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -1X = 0 + 36 -1X = 0 + 36 Combine like terms: 0 + 36 = 36 -1X = 36 Divide each side by '-1'. X = -36 Simplifying X = -36Subproblem 2
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 = 1Solution
X = {-36, 1}
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