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Simplifying (5 + -1x)(1 + x) = 0 Multiply (5 + -1x) * (1 + x) (5(1 + x) + -1x * (1 + x)) = 0 ((1 * 5 + x * 5) + -1x * (1 + x)) = 0 ((5 + 5x) + -1x * (1 + x)) = 0 (5 + 5x + (1 * -1x + x * -1x)) = 0 (5 + 5x + (-1x + -1x2)) = 0 Combine like terms: 5x + -1x = 4x (5 + 4x + -1x2) = 0 Solving 5 + 4x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -1x)(1 + x) = 0Subproblem 1
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 = 5Subproblem 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 = {5, -1}
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