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Simplifying 3x2 = 2 + 5x Solving 3x2 = 2 + 5x Solving for variable 'x'. Reorder the terms: -2 + -5x + 3x2 = 2 + 5x + -2 + -5x Reorder the terms: -2 + -5x + 3x2 = 2 + -2 + 5x + -5x Combine like terms: 2 + -2 = 0 -2 + -5x + 3x2 = 0 + 5x + -5x -2 + -5x + 3x2 = 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -5x + 3x2 = 0 Factor a trinomial. (-1 + -3x)(2 + -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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-0.3333333333, 2}
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