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Simplifying (2v + 9)(7 + v) = 0 Reorder the terms: (9 + 2v)(7 + v) = 0 Multiply (9 + 2v) * (7 + v) (9(7 + v) + 2v * (7 + v)) = 0 ((7 * 9 + v * 9) + 2v * (7 + v)) = 0 ((63 + 9v) + 2v * (7 + v)) = 0 (63 + 9v + (7 * 2v + v * 2v)) = 0 (63 + 9v + (14v + 2v2)) = 0 Combine like terms: 9v + 14v = 23v (63 + 23v + 2v2) = 0 Solving 63 + 23v + 2v2 = 0 Solving for variable 'v'. Factor a trinomial. (7 + v)(9 + 2v) = 0Subproblem 1
Set the factor '(7 + v)' equal to zero and attempt to solve: Simplifying 7 + v = 0 Solving 7 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + v = 0 + -7 v = 0 + -7 Combine like terms: 0 + -7 = -7 v = -7 Simplifying v = -7Subproblem 2
Set the factor '(9 + 2v)' equal to zero and attempt to solve: Simplifying 9 + 2v = 0 Solving 9 + 2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2v = 0 + -9 2v = 0 + -9 Combine like terms: 0 + -9 = -9 2v = -9 Divide each side by '2'. v = -4.5 Simplifying v = -4.5Solution
v = {-7, -4.5}
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