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Simplifying 0 = 8x2 + -25x + 3 Reorder the terms: 0 = 3 + -25x + 8x2 Solving 0 = 3 + -25x + 8x2 Solving for variable 'x'. Combine like terms: 0 + -3 = -3 -3 + 25x + -8x2 = 3 + -25x + 8x2 + -3 + 25x + -8x2 Reorder the terms: -3 + 25x + -8x2 = 3 + -3 + -25x + 25x + 8x2 + -8x2 Combine like terms: 3 + -3 = 0 -3 + 25x + -8x2 = 0 + -25x + 25x + 8x2 + -8x2 -3 + 25x + -8x2 = -25x + 25x + 8x2 + -8x2 Combine like terms: -25x + 25x = 0 -3 + 25x + -8x2 = 0 + 8x2 + -8x2 -3 + 25x + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -3 + 25x + -8x2 = 0 Factor a trinomial. (-3 + x)(1 + -8x) = 0Subproblem 1
Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Subproblem 2
Set the factor '(1 + -8x)' equal to zero and attempt to solve: Simplifying 1 + -8x = 0 Solving 1 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = 0 + -1 -8x = 0 + -1 Combine like terms: 0 + -1 = -1 -8x = -1 Divide each side by '-8'. x = 0.125 Simplifying x = 0.125Solution
x = {3, 0.125}
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