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Simplifying 0 = -25x2 + 40x + -16 Reorder the terms: 0 = -16 + 40x + -25x2 Solving 0 = -16 + 40x + -25x2 Solving for variable 'x'. Combine like terms: 0 + 16 = 16 16 + -40x + 25x2 = -16 + 40x + -25x2 + 16 + -40x + 25x2 Reorder the terms: 16 + -40x + 25x2 = -16 + 16 + 40x + -40x + -25x2 + 25x2 Combine like terms: -16 + 16 = 0 16 + -40x + 25x2 = 0 + 40x + -40x + -25x2 + 25x2 16 + -40x + 25x2 = 40x + -40x + -25x2 + 25x2 Combine like terms: 40x + -40x = 0 16 + -40x + 25x2 = 0 + -25x2 + 25x2 16 + -40x + 25x2 = -25x2 + 25x2 Combine like terms: -25x2 + 25x2 = 0 16 + -40x + 25x2 = 0 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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