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Simplifying (x + -5)(4x + -5) = 0 Reorder the terms: (-5 + x)(4x + -5) = 0 Reorder the terms: (-5 + x)(-5 + 4x) = 0 Multiply (-5 + x) * (-5 + 4x) (-5(-5 + 4x) + x(-5 + 4x)) = 0 ((-5 * -5 + 4x * -5) + x(-5 + 4x)) = 0 ((25 + -20x) + x(-5 + 4x)) = 0 (25 + -20x + (-5 * x + 4x * x)) = 0 (25 + -20x + (-5x + 4x2)) = 0 Combine like terms: -20x + -5x = -25x (25 + -25x + 4x2) = 0 Solving 25 + -25x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -4x)(5 + -1x) = 0Subproblem 1
Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 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 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Subproblem 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 = {1.25, 5}
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