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Simplifying 3x2 + -4x = 6x + -3 Reorder the terms: -4x + 3x2 = 6x + -3 Reorder the terms: -4x + 3x2 = -3 + 6x Solving -4x + 3x2 = -3 + 6x Solving for variable 'x'. Reorder the terms: 3 + -4x + -6x + 3x2 = -3 + 6x + 3 + -6x Combine like terms: -4x + -6x = -10x 3 + -10x + 3x2 = -3 + 6x + 3 + -6x Reorder the terms: 3 + -10x + 3x2 = -3 + 3 + 6x + -6x Combine like terms: -3 + 3 = 0 3 + -10x + 3x2 = 0 + 6x + -6x 3 + -10x + 3x2 = 6x + -6x Combine like terms: 6x + -6x = 0 3 + -10x + 3x2 = 0 Factor a trinomial. (1 + -3x)(3 + -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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {0.3333333333, 3}
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