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Simplifying 0 = -16x2 + 50x + -25 Reorder the terms: 0 = -25 + 50x + -16x2 Solving 0 = -25 + 50x + -16x2 Solving for variable 'x'. Combine like terms: 0 + 25 = 25 25 + -50x + 16x2 = -25 + 50x + -16x2 + 25 + -50x + 16x2 Reorder the terms: 25 + -50x + 16x2 = -25 + 25 + 50x + -50x + -16x2 + 16x2 Combine like terms: -25 + 25 = 0 25 + -50x + 16x2 = 0 + 50x + -50x + -16x2 + 16x2 25 + -50x + 16x2 = 50x + -50x + -16x2 + 16x2 Combine like terms: 50x + -50x = 0 25 + -50x + 16x2 = 0 + -16x2 + 16x2 25 + -50x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 25 + -50x + 16x2 = 0 Factor a trinomial. (5 + -8x)(5 + -2x) = 0Subproblem 1
Set the factor '(5 + -8x)' equal to zero and attempt to solve: Simplifying 5 + -8x = 0 Solving 5 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 0 + -5 -8x = 0 + -5 Combine like terms: 0 + -5 = -5 -8x = -5 Divide each side by '-8'. x = 0.625 Simplifying x = 0.625Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {0.625, 2.5}
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