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Simplifying 3x + 4 = 9x2 + -6x Reorder the terms: 4 + 3x = 9x2 + -6x Reorder the terms: 4 + 3x = -6x + 9x2 Solving 4 + 3x = -6x + 9x2 Solving for variable 'x'. Combine like terms: 3x + 6x = 9x 4 + 9x + -9x2 = -6x + 9x2 + 6x + -9x2 Reorder the terms: 4 + 9x + -9x2 = -6x + 6x + 9x2 + -9x2 Combine like terms: -6x + 6x = 0 4 + 9x + -9x2 = 0 + 9x2 + -9x2 4 + 9x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 4 + 9x + -9x2 = 0 Factor a trinomial. (4 + -3x)(1 + 3x) = 0Subproblem 1
Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Subproblem 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 = {1.333333333, -0.3333333333}
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