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Simplifying 60v2 + 151v = -1v + -28 Reorder the terms: 151v + 60v2 = -1v + -28 Reorder the terms: 151v + 60v2 = -28 + -1v Solving 151v + 60v2 = -28 + -1v Solving for variable 'v'. Reorder the terms: 28 + 151v + v + 60v2 = -28 + -1v + 28 + v Combine like terms: 151v + v = 152v 28 + 152v + 60v2 = -28 + -1v + 28 + v Reorder the terms: 28 + 152v + 60v2 = -28 + 28 + -1v + v Combine like terms: -28 + 28 = 0 28 + 152v + 60v2 = 0 + -1v + v 28 + 152v + 60v2 = -1v + v Combine like terms: -1v + v = 0 28 + 152v + 60v2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(7 + 38v + 15v2) = 0 Factor a trinomial. 4((7 + 3v)(1 + 5v)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(7 + 3v)' equal to zero and attempt to solve: Simplifying 7 + 3v = 0 Solving 7 + 3v = 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 + 3v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3v = 0 + -7 3v = 0 + -7 Combine like terms: 0 + -7 = -7 3v = -7 Divide each side by '3'. v = -2.333333333 Simplifying v = -2.333333333Subproblem 2
Set the factor '(1 + 5v)' equal to zero and attempt to solve: Simplifying 1 + 5v = 0 Solving 1 + 5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5v = 0 + -1 5v = 0 + -1 Combine like terms: 0 + -1 = -1 5v = -1 Divide each side by '5'. v = -0.2 Simplifying v = -0.2Solution
v = {-2.333333333, -0.2}
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