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Simplifying (x + -2 + 5)(x + -2 + 5) = 0 Reorder the terms: (-2 + 5 + x)(x + -2 + 5) = 0 Combine like terms: -2 + 5 = 3 (3 + x)(x + -2 + 5) = 0 Reorder the terms: (3 + x)(-2 + 5 + x) = 0 Combine like terms: -2 + 5 = 3 (3 + x)(3 + x) = 0 Multiply (3 + x) * (3 + x) (3(3 + x) + x(3 + x)) = 0 ((3 * 3 + x * 3) + x(3 + x)) = 0 ((9 + 3x) + x(3 + x)) = 0 (9 + 3x + (3 * x + x * x)) = 0 (9 + 3x + (3x + x2)) = 0 Combine like terms: 3x + 3x = 6x (9 + 6x + x2) = 0 Solving 9 + 6x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + x)(3 + x) = 0Subproblem 1
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 = -3Subproblem 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 = {-3, -3}
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