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Simplifying (x2 + 6x + 2) + (7x + 20) = 0 Reorder the terms: (2 + 6x + x2) + (7x + 20) = 0 Remove parenthesis around (2 + 6x + x2) 2 + 6x + x2 + (7x + 20) = 0 Reorder the terms: 2 + 6x + x2 + (20 + 7x) = 0 Remove parenthesis around (20 + 7x) 2 + 6x + x2 + 20 + 7x = 0 Reorder the terms: 2 + 20 + 6x + 7x + x2 = 0 Combine like terms: 2 + 20 = 22 22 + 6x + 7x + x2 = 0 Combine like terms: 6x + 7x = 13x 22 + 13x + x2 = 0 Solving 22 + 13x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (11 + x)(2 + x) = 0Subproblem 1
Set the factor '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11Subproblem 2
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 = -2Solution
x = {-11, -2}
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