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Simplifying (4x + 5)(4x + 19) = 0 Reorder the terms: (5 + 4x)(4x + 19) = 0 Reorder the terms: (5 + 4x)(19 + 4x) = 0 Multiply (5 + 4x) * (19 + 4x) (5(19 + 4x) + 4x * (19 + 4x)) = 0 ((19 * 5 + 4x * 5) + 4x * (19 + 4x)) = 0 ((95 + 20x) + 4x * (19 + 4x)) = 0 (95 + 20x + (19 * 4x + 4x * 4x)) = 0 (95 + 20x + (76x + 16x2)) = 0 Combine like terms: 20x + 76x = 96x (95 + 96x + 16x2) = 0 Solving 95 + 96x + 16x2 = 0 Solving for variable 'x'. Factor a trinomial. (19 + 4x)(5 + 4x) = 0Subproblem 1
Set the factor '(19 + 4x)' equal to zero and attempt to solve: Simplifying 19 + 4x = 0 Solving 19 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 4x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 4x = 0 + -19 4x = 0 + -19 Combine like terms: 0 + -19 = -19 4x = -19 Divide each side by '4'. x = -4.75 Simplifying x = -4.75Subproblem 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 = {-4.75, -1.25}
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