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Simplifying (X + -3)(X + 1) = -4 Reorder the terms: (-3 + X)(X + 1) = -4 Reorder the terms: (-3 + X)(1 + X) = -4 Multiply (-3 + X) * (1 + X) (-3(1 + X) + X(1 + X)) = -4 ((1 * -3 + X * -3) + X(1 + X)) = -4 ((-3 + -3X) + X(1 + X)) = -4 (-3 + -3X + (1 * X + X * X)) = -4 (-3 + -3X + (1X + X2)) = -4 Combine like terms: -3X + 1X = -2X (-3 + -2X + X2) = -4 Solving -3 + -2X + X2 = -4 Solving for variable 'X'. Reorder the terms: -3 + 4 + -2X + X2 = -4 + 4 Combine like terms: -3 + 4 = 1 1 + -2X + X2 = -4 + 4 Combine like terms: -4 + 4 = 0 1 + -2X + X2 = 0 Factor a trinomial. (1 + -1X)(1 + -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 '(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 = {1, 1}
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