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Simplifying (-1x + -1)(-1x + 4) = 0 Reorder the terms: (-1 + -1x)(-1x + 4) = 0 Reorder the terms: (-1 + -1x)(4 + -1x) = 0 Multiply (-1 + -1x) * (4 + -1x) (-1(4 + -1x) + -1x * (4 + -1x)) = 0 ((4 * -1 + -1x * -1) + -1x * (4 + -1x)) = 0 ((-4 + 1x) + -1x * (4 + -1x)) = 0 (-4 + 1x + (4 * -1x + -1x * -1x)) = 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 + -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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-1, 4}
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