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Simplifying 2 = 6x2 + 7x + -1 Reorder the terms: 2 = -1 + 7x + 6x2 Solving 2 = -1 + 7x + 6x2 Solving for variable 'x'. Combine like terms: 2 + 1 = 3 3 + -7x + -6x2 = -1 + 7x + 6x2 + 1 + -7x + -6x2 Reorder the terms: 3 + -7x + -6x2 = -1 + 1 + 7x + -7x + 6x2 + -6x2 Combine like terms: -1 + 1 = 0 3 + -7x + -6x2 = 0 + 7x + -7x + 6x2 + -6x2 3 + -7x + -6x2 = 7x + -7x + 6x2 + -6x2 Combine like terms: 7x + -7x = 0 3 + -7x + -6x2 = 0 + 6x2 + -6x2 3 + -7x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 3 + -7x + -6x2 = 0 Factor a trinomial. (1 + -3x)(3 + 2x) = 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 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {0.3333333333, -1.5}
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