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Simplifying (9 + v)(5v + 7) = 0 Reorder the terms: (9 + v)(7 + 5v) = 0 Multiply (9 + v) * (7 + 5v) (9(7 + 5v) + v(7 + 5v)) = 0 ((7 * 9 + 5v * 9) + v(7 + 5v)) = 0 ((63 + 45v) + v(7 + 5v)) = 0 (63 + 45v + (7 * v + 5v * v)) = 0 (63 + 45v + (7v + 5v2)) = 0 Combine like terms: 45v + 7v = 52v (63 + 52v + 5v2) = 0 Solving 63 + 52v + 5v2 = 0 Solving for variable 'v'. Factor a trinomial. (9 + v)(7 + 5v) = 0Subproblem 1
Set the factor '(9 + v)' equal to zero and attempt to solve: Simplifying 9 + v = 0 Solving 9 + v = 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 + v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + v = 0 + -9 v = 0 + -9 Combine like terms: 0 + -9 = -9 v = -9 Simplifying v = -9Subproblem 2
Set the factor '(7 + 5v)' equal to zero and attempt to solve: Simplifying 7 + 5v = 0 Solving 7 + 5v = 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 + 5v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5v = 0 + -7 5v = 0 + -7 Combine like terms: 0 + -7 = -7 5v = -7 Divide each side by '5'. v = -1.4 Simplifying v = -1.4Solution
v = {-9, -1.4}
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