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Simplifying (2x + 7)(9 + x) = 0 Reorder the terms: (7 + 2x)(9 + x) = 0 Multiply (7 + 2x) * (9 + x) (7(9 + x) + 2x * (9 + x)) = 0 ((9 * 7 + x * 7) + 2x * (9 + x)) = 0 ((63 + 7x) + 2x * (9 + x)) = 0 (63 + 7x + (9 * 2x + x * 2x)) = 0 (63 + 7x + (18x + 2x2)) = 0 Combine like terms: 7x + 18x = 25x (63 + 25x + 2x2) = 0 Solving 63 + 25x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + x)(7 + 2x) = 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 + 2x)' equal to zero and attempt to solve: Simplifying 7 + 2x = 0 Solving 7 + 2x = 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 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5Solution
x = {-9, -3.5}
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