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Simplifying (x + 22)(x + 22) = 0 Reorder the terms: (22 + x)(x + 22) = 0 Reorder the terms: (22 + x)(22 + x) = 0 Multiply (22 + x) * (22 + x) (22(22 + x) + x(22 + x)) = 0 ((22 * 22 + x * 22) + x(22 + x)) = 0 ((484 + 22x) + x(22 + x)) = 0 (484 + 22x + (22 * x + x * x)) = 0 (484 + 22x + (22x + x2)) = 0 Combine like terms: 22x + 22x = 44x (484 + 44x + x2) = 0 Solving 484 + 44x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (22 + x)(22 + x) = 0Subproblem 1
Set the factor '(22 + x)' equal to zero and attempt to solve: Simplifying 22 + x = 0 Solving 22 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + x = 0 + -22 x = 0 + -22 Combine like terms: 0 + -22 = -22 x = -22 Simplifying x = -22Subproblem 2
Set the factor '(22 + x)' equal to zero and attempt to solve: Simplifying 22 + x = 0 Solving 22 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + x = 0 + -22 x = 0 + -22 Combine like terms: 0 + -22 = -22 x = -22 Simplifying x = -22Solution
x = {-22, -22}
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