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Simplifying (5 + x)(5x + 4) = 0 Reorder the terms: (5 + x)(4 + 5x) = 0 Multiply (5 + x) * (4 + 5x) (5(4 + 5x) + x(4 + 5x)) = 0 ((4 * 5 + 5x * 5) + x(4 + 5x)) = 0 ((20 + 25x) + x(4 + 5x)) = 0 (20 + 25x + (4 * x + 5x * x)) = 0 (20 + 25x + (4x + 5x2)) = 0 Combine like terms: 25x + 4x = 29x (20 + 29x + 5x2) = 0 Solving 20 + 29x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + x)(4 + 5x) = 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 '(4 + 5x)' equal to zero and attempt to solve: Simplifying 4 + 5x = 0 Solving 4 + 5x = 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 + 5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4 Combine like terms: 0 + -4 = -4 5x = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8Solution
x = {-5, -0.8}
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