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Simplifying (x + 2)(x + 9) = 2x Reorder the terms: (2 + x)(x + 9) = 2x Reorder the terms: (2 + x)(9 + x) = 2x Multiply (2 + x) * (9 + x) (2(9 + x) + x(9 + x)) = 2x ((9 * 2 + x * 2) + x(9 + x)) = 2x ((18 + 2x) + x(9 + x)) = 2x (18 + 2x + (9 * x + x * x)) = 2x (18 + 2x + (9x + x2)) = 2x Combine like terms: 2x + 9x = 11x (18 + 11x + x2) = 2x Solving 18 + 11x + x2 = 2x Solving for variable 'x'. Reorder the terms: 18 + 11x + -2x + x2 = 2x + -2x Combine like terms: 11x + -2x = 9x 18 + 9x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 18 + 9x + x2 = 0 Factor a trinomial. (6 + x)(3 + x) = 0Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-6, -3}
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