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