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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 = 15x (-25 + 15x + 4x2) = 0 Solving -25 + 15x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -1x)(5 + -4x) = 0Subproblem 1
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 = -5Subproblem 2
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 = 1.25Solution
x = {-5, 1.25}
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