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Simplifying 3x2 = 25x + -8 Reorder the terms: 3x2 = -8 + 25x Solving 3x2 = -8 + 25x Solving for variable 'x'. Reorder the terms: 8 + -25x + 3x2 = -8 + 25x + 8 + -25x Reorder the terms: 8 + -25x + 3x2 = -8 + 8 + 25x + -25x Combine like terms: -8 + 8 = 0 8 + -25x + 3x2 = 0 + 25x + -25x 8 + -25x + 3x2 = 25x + -25x Combine like terms: 25x + -25x = 0 8 + -25x + 3x2 = 0 Factor a trinomial. (1 + -3x)(8 + -1x) = 0Subproblem 1
Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 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 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 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 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {0.3333333333, 8}
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