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Simplifying 35v2 + 9 = -36v Reorder the terms: 9 + 35v2 = -36v Solving 9 + 35v2 = -36v Solving for variable 'v'. Reorder the terms: 9 + 36v + 35v2 = -36v + 36v Combine like terms: -36v + 36v = 0 9 + 36v + 35v2 = 0 Factor a trinomial. (3 + 5v)(3 + 7v) = 0Subproblem 1
Set the factor '(3 + 5v)' equal to zero and attempt to solve: Simplifying 3 + 5v = 0 Solving 3 + 5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5v = 0 + -3 5v = 0 + -3 Combine like terms: 0 + -3 = -3 5v = -3 Divide each side by '5'. v = -0.6 Simplifying v = -0.6Subproblem 2
Set the factor '(3 + 7v)' equal to zero and attempt to solve: Simplifying 3 + 7v = 0 Solving 3 + 7v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7v = 0 + -3 7v = 0 + -3 Combine like terms: 0 + -3 = -3 7v = -3 Divide each side by '7'. v = -0.4285714286 Simplifying v = -0.4285714286Solution
v = {-0.6, -0.4285714286}
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