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Simplifying (-1 + -4x)(5 + -1x) = 0 Multiply (-1 + -4x) * (5 + -1x) (-1(5 + -1x) + -4x * (5 + -1x)) = 0 ((5 * -1 + -1x * -1) + -4x * (5 + -1x)) = 0 ((-5 + 1x) + -4x * (5 + -1x)) = 0 (-5 + 1x + (5 * -4x + -1x * -4x)) = 0 (-5 + 1x + (-20x + 4x2)) = 0 Combine like terms: 1x + -20x = -19x (-5 + -19x + 4x2) = 0 Solving -5 + -19x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -4x)(5 + -1x) = 0Subproblem 1
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 = -0.25Subproblem 2
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 = 5Solution
x = {-0.25, 5}
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