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Simplifying (5x + 4)(5x + 4) = 0 Reorder the terms: (4 + 5x)(5x + 4) = 0 Reorder the terms: (4 + 5x)(4 + 5x) = 0 Multiply (4 + 5x) * (4 + 5x) (4(4 + 5x) + 5x * (4 + 5x)) = 0 ((4 * 4 + 5x * 4) + 5x * (4 + 5x)) = 0 ((16 + 20x) + 5x * (4 + 5x)) = 0 (16 + 20x + (4 * 5x + 5x * 5x)) = 0 (16 + 20x + (20x + 25x2)) = 0 Combine like terms: 20x + 20x = 40x (16 + 40x + 25x2) = 0 Solving 16 + 40x + 25x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + 5x)(4 + 5x) = 0Subproblem 1
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 = -0.8Subproblem 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 = {-0.8, -0.8}
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