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Simplifying 3x2 + 7x + 13 = 11 Reorder the terms: 13 + 7x + 3x2 = 11 Solving 13 + 7x + 3x2 = 11 Solving for variable 'x'. Reorder the terms: 13 + -11 + 7x + 3x2 = 11 + -11 Combine like terms: 13 + -11 = 2 2 + 7x + 3x2 = 11 + -11 Combine like terms: 11 + -11 = 0 2 + 7x + 3x2 = 0 Factor a trinomial. (2 + x)(1 + 3x) = 0Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 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 = {-2, -0.3333333333}
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