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Simplifying (X + 6)(X + 5) = 0 Reorder the terms: (6 + X)(X + 5) = 0 Reorder the terms: (6 + X)(5 + X) = 0 Multiply (6 + X) * (5 + X) (6(5 + X) + X(5 + X)) = 0 ((5 * 6 + X * 6) + X(5 + X)) = 0 ((30 + 6X) + X(5 + X)) = 0 (30 + 6X + (5 * X + X * X)) = 0 (30 + 6X + (5X + X2)) = 0 Combine like terms: 6X + 5X = 11X (30 + 11X + X2) = 0 Solving 30 + 11X + X2 = 0 Solving for variable 'X'. Factor a trinomial. (6 + X)(5 + 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 '(5 + X)' equal to zero and attempt to solve: Simplifying 5 + X = 0 Solving 5 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + X = 0 + -5 X = 0 + -5 Combine like terms: 0 + -5 = -5 X = -5 Simplifying X = -5Solution
X = {-6, -5}
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