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Simplifying (v + 7)(9v + 2) = 0 Reorder the terms: (7 + v)(9v + 2) = 0 Reorder the terms: (7 + v)(2 + 9v) = 0 Multiply (7 + v) * (2 + 9v) (7(2 + 9v) + v(2 + 9v)) = 0 ((2 * 7 + 9v * 7) + v(2 + 9v)) = 0 ((14 + 63v) + v(2 + 9v)) = 0 (14 + 63v + (2 * v + 9v * v)) = 0 (14 + 63v + (2v + 9v2)) = 0 Combine like terms: 63v + 2v = 65v (14 + 65v + 9v2) = 0 Solving 14 + 65v + 9v2 = 0 Solving for variable 'v'. Factor a trinomial. (7 + v)(2 + 9v) = 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 '(2 + 9v)' equal to zero and attempt to solve: Simplifying 2 + 9v = 0 Solving 2 + 9v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 9v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9v = 0 + -2 9v = 0 + -2 Combine like terms: 0 + -2 = -2 9v = -2 Divide each side by '9'. v = -0.2222222222 Simplifying v = -0.2222222222Solution
v = {-7, -0.2222222222}
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