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Simplifying 5x(5x + 16) = -64 Reorder the terms: 5x(16 + 5x) = -64 (16 * 5x + 5x * 5x) = -64 (80x + 25x2) = -64 Solving 80x + 25x2 = -64 Solving for variable 'x'. Reorder the terms: 64 + 80x + 25x2 = -64 + 64 Combine like terms: -64 + 64 = 0 64 + 80x + 25x2 = 0 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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