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Simplifying (x + -5)(4x + -1) = 0 Reorder the terms: (-5 + x)(4x + -1) = 0 Reorder the terms: (-5 + x)(-1 + 4x) = 0 Multiply (-5 + x) * (-1 + 4x) (-5(-1 + 4x) + x(-1 + 4x)) = 0 ((-1 * -5 + 4x * -5) + x(-1 + 4x)) = 0 ((5 + -20x) + x(-1 + 4x)) = 0 (5 + -20x + (-1 * x + 4x * x)) = 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. (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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