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Simplifying (5x + 8)(5x + 8) = 0 Reorder the terms: (8 + 5x)(5x + 8) = 0 Reorder the terms: (8 + 5x)(8 + 5x) = 0 Multiply (8 + 5x) * (8 + 5x) (8(8 + 5x) + 5x * (8 + 5x)) = 0 ((8 * 8 + 5x * 8) + 5x * (8 + 5x)) = 0 ((64 + 40x) + 5x * (8 + 5x)) = 0 (64 + 40x + (8 * 5x + 5x * 5x)) = 0 (64 + 40x + (40x + 25x2)) = 0 Combine like terms: 40x + 40x = 80x (64 + 80x + 25x2) = 0 Solving 64 + 80x + 25x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + 5x)(8 + 5x) = 0Subproblem 1
Set the factor '(8 + 5x)' equal to zero and attempt to solve: Simplifying 8 + 5x = 0 Solving 8 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 0 + -8 5x = 0 + -8 Combine like terms: 0 + -8 = -8 5x = -8 Divide each side by '5'. x = -1.6 Simplifying x = -1.6Subproblem 2
Set the factor '(8 + 5x)' equal to zero and attempt to solve: Simplifying 8 + 5x = 0 Solving 8 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 0 + -8 5x = 0 + -8 Combine like terms: 0 + -8 = -8 5x = -8 Divide each side by '5'. x = -1.6 Simplifying x = -1.6Solution
x = {-1.6, -1.6}
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