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