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Simplifying 45v2 = -320 + -240v Solving 45v2 = -320 + -240v Solving for variable 'v'. Reorder the terms: 320 + 240v + 45v2 = -320 + -240v + 320 + 240v Reorder the terms: 320 + 240v + 45v2 = -320 + 320 + -240v + 240v Combine like terms: -320 + 320 = 0 320 + 240v + 45v2 = 0 + -240v + 240v 320 + 240v + 45v2 = -240v + 240v Combine like terms: -240v + 240v = 0 320 + 240v + 45v2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(64 + 48v + 9v2) = 0 Factor a trinomial. 5((8 + 3v)(8 + 3v)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(8 + 3v)' equal to zero and attempt to solve: Simplifying 8 + 3v = 0 Solving 8 + 3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3v = 0 + -8 3v = 0 + -8 Combine like terms: 0 + -8 = -8 3v = -8 Divide each side by '3'. v = -2.666666667 Simplifying v = -2.666666667Subproblem 2
Set the factor '(8 + 3v)' equal to zero and attempt to solve: Simplifying 8 + 3v = 0 Solving 8 + 3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3v = 0 + -8 3v = 0 + -8 Combine like terms: 0 + -8 = -8 3v = -8 Divide each side by '3'. v = -2.666666667 Simplifying v = -2.666666667Solution
v = {-2.666666667, -2.666666667}
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