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Simplifying (5x + -23)(x + 5) = 0 Reorder the terms: (-23 + 5x)(x + 5) = 0 Reorder the terms: (-23 + 5x)(5 + x) = 0 Multiply (-23 + 5x) * (5 + x) (-23(5 + x) + 5x * (5 + x)) = 0 ((5 * -23 + x * -23) + 5x * (5 + x)) = 0 ((-115 + -23x) + 5x * (5 + x)) = 0 (-115 + -23x + (5 * 5x + x * 5x)) = 0 (-115 + -23x + (25x + 5x2)) = 0 Combine like terms: -23x + 25x = 2x (-115 + 2x + 5x2) = 0 Solving -115 + 2x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -1x)(23 + -5x) = 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 '(23 + -5x)' equal to zero and attempt to solve: Simplifying 23 + -5x = 0 Solving 23 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -5x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -5x = 0 + -23 -5x = 0 + -23 Combine like terms: 0 + -23 = -23 -5x = -23 Divide each side by '-5'. x = 4.6 Simplifying x = 4.6Solution
x = {-5, 4.6}
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