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Simplifying 6x + 2 = 9x2 + 3x Reorder the terms: 2 + 6x = 9x2 + 3x Reorder the terms: 2 + 6x = 3x + 9x2 Solving 2 + 6x = 3x + 9x2 Solving for variable 'x'. Combine like terms: 6x + -3x = 3x 2 + 3x + -9x2 = 3x + 9x2 + -3x + -9x2 Reorder the terms: 2 + 3x + -9x2 = 3x + -3x + 9x2 + -9x2 Combine like terms: 3x + -3x = 0 2 + 3x + -9x2 = 0 + 9x2 + -9x2 2 + 3x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 2 + 3x + -9x2 = 0 Factor a trinomial. (2 + -3x)(1 + 3x) = 0Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Subproblem 2
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 = -0.3333333333Solution
x = {0.6666666667, -0.3333333333}
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