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Simplifying (x + -1)(-1x + -4) = 0 Reorder the terms: (-1 + x)(-1x + -4) = 0 Reorder the terms: (-1 + x)(-4 + -1x) = 0 Multiply (-1 + x) * (-4 + -1x) (-1(-4 + -1x) + x(-4 + -1x)) = 0 ((-4 * -1 + -1x * -1) + x(-4 + -1x)) = 0 ((4 + 1x) + x(-4 + -1x)) = 0 (4 + 1x + (-4 * x + -1x * x)) = 0 (4 + 1x + (-4x + -1x2)) = 0 Combine like terms: 1x + -4x = -3x (4 + -3x + -1x2) = 0 Solving 4 + -3x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -1x)(4 + x) = 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 '(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 = {1, -4}
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