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Simplifying (X + 5)(X + 5) + -4 = 0 Reorder the terms: (5 + X)(X + 5) + -4 = 0 Reorder the terms: (5 + X)(5 + X) + -4 = 0 Multiply (5 + X) * (5 + X) (5(5 + X) + X(5 + X)) + -4 = 0 ((5 * 5 + X * 5) + X(5 + X)) + -4 = 0 ((25 + 5X) + X(5 + X)) + -4 = 0 (25 + 5X + (5 * X + X * X)) + -4 = 0 (25 + 5X + (5X + X2)) + -4 = 0 Combine like terms: 5X + 5X = 10X (25 + 10X + X2) + -4 = 0 Reorder the terms: 25 + -4 + 10X + X2 = 0 Combine like terms: 25 + -4 = 21 21 + 10X + X2 = 0 Solving 21 + 10X + X2 = 0 Solving for variable 'X'. Factor a trinomial. (7 + X)(3 + X) = 0Subproblem 1
Set the factor '(7 + X)' equal to zero and attempt to solve: Simplifying 7 + X = 0 Solving 7 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + X = 0 + -7 Combine like terms: 7 + -7 = 0 0 + X = 0 + -7 X = 0 + -7 Combine like terms: 0 + -7 = -7 X = -7 Simplifying X = -7Subproblem 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 = {-7, -3}
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