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Simplifying 2(3x + -1) + 9x2 = -3 Reorder the terms: 2(-1 + 3x) + 9x2 = -3 (-1 * 2 + 3x * 2) + 9x2 = -3 (-2 + 6x) + 9x2 = -3 Solving -2 + 6x + 9x2 = -3 Solving for variable 'x'. Reorder the terms: -2 + 3 + 6x + 9x2 = -3 + 3 Combine like terms: -2 + 3 = 1 1 + 6x + 9x2 = -3 + 3 Combine like terms: -3 + 3 = 0 1 + 6x + 9x2 = 0 Factor a trinomial. (1 + 3x)(1 + 3x) = 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 '(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 = {-0.3333333333, -0.3333333333}
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