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Simplifying (5 + -1x)(4x + -1) = 0 Reorder the terms: (5 + -1x)(-1 + 4x) = 0 Multiply (5 + -1x) * (-1 + 4x) (5(-1 + 4x) + -1x * (-1 + 4x)) = 0 ((-1 * 5 + 4x * 5) + -1x * (-1 + 4x)) = 0 ((-5 + 20x) + -1x * (-1 + 4x)) = 0 (-5 + 20x + (-1 * -1x + 4x * -1x)) = 0 (-5 + 20x + (1x + -4x2)) = 0 Combine like terms: 20x + 1x = 21x (-5 + 21x + -4x2) = 0 Solving -5 + 21x + -4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + x)(1 + -4x) = 0Subproblem 1
Set the factor '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 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 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5Subproblem 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 = {5, 0.25}
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