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Simplifying (4 + x)(4x + 5) = 0 Reorder the terms: (4 + x)(5 + 4x) = 0 Multiply (4 + x) * (5 + 4x) (4(5 + 4x) + x(5 + 4x)) = 0 ((5 * 4 + 4x * 4) + x(5 + 4x)) = 0 ((20 + 16x) + x(5 + 4x)) = 0 (20 + 16x + (5 * x + 4x * x)) = 0 (20 + 16x + (5x + 4x2)) = 0 Combine like terms: 16x + 5x = 21x (20 + 21x + 4x2) = 0 Solving 20 + 21x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + x)(5 + 4x) = 0Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 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, -1.25}
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