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Simplifying (5x + -1)(4x + 5) = 0 Reorder the terms: (-1 + 5x)(4x + 5) = 0 Reorder the terms: (-1 + 5x)(5 + 4x) = 0 Multiply (-1 + 5x) * (5 + 4x) (-1(5 + 4x) + 5x * (5 + 4x)) = 0 ((5 * -1 + 4x * -1) + 5x * (5 + 4x)) = 0 ((-5 + -4x) + 5x * (5 + 4x)) = 0 (-5 + -4x + (5 * 5x + 4x * 5x)) = 0 (-5 + -4x + (25x + 20x2)) = 0 Combine like terms: -4x + 25x = 21x (-5 + 21x + 20x2) = 0 Solving -5 + 21x + 20x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -4x)(1 + -5x) = 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 '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Solution
x = {-1.25, 0.2}
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