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Simplifying (-4 + -1x)(1 + -4x) = 0 Multiply (-4 + -1x) * (1 + -4x) (-4(1 + -4x) + -1x * (1 + -4x)) = 0 ((1 * -4 + -4x * -4) + -1x * (1 + -4x)) = 0 ((-4 + 16x) + -1x * (1 + -4x)) = 0 (-4 + 16x + (1 * -1x + -4x * -1x)) = 0 (-4 + 16x + (-1x + 4x2)) = 0 Combine like terms: 16x + -1x = 15x (-4 + 15x + 4x2) = 0 Solving -4 + 15x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -1x)(1 + -4x) = 0Subproblem 1
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 = -4Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Solution
x = {-4, 0.25}
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