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Simplifying (5 + -1x)(4 + x) = 0 Multiply (5 + -1x) * (4 + x) (5(4 + x) + -1x * (4 + x)) = 0 ((4 * 5 + x * 5) + -1x * (4 + x)) = 0 ((20 + 5x) + -1x * (4 + x)) = 0 (20 + 5x + (4 * -1x + x * -1x)) = 0 (20 + 5x + (-4x + -1x2)) = 0 Combine like terms: 5x + -4x = 1x (20 + 1x + -1x2) = 0 Solving 20 + 1x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -1x)(4 + 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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {5, -4}
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