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Simplifying (x + 7)(x + 9) = 0 Reorder the terms: (7 + x)(x + 9) = 0 Reorder the terms: (7 + x)(9 + x) = 0 Multiply (7 + x) * (9 + x) (7(9 + x) + x(9 + x)) = 0 ((9 * 7 + x * 7) + x(9 + x)) = 0 ((63 + 7x) + x(9 + x)) = 0 (63 + 7x + (9 * x + x * x)) = 0 (63 + 7x + (9x + x2)) = 0 Combine like terms: 7x + 9x = 16x (63 + 16x + x2) = 0 Solving 63 + 16x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + x)(7 + x) = 0Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Subproblem 2
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 = -7Solution
x = {-9, -7}
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