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Simplifying 2v2 = -8 + 10v Solving 2v2 = -8 + 10v Solving for variable 'v'. Reorder the terms: 8 + -10v + 2v2 = -8 + 10v + 8 + -10v Reorder the terms: 8 + -10v + 2v2 = -8 + 8 + 10v + -10v Combine like terms: -8 + 8 = 0 8 + -10v + 2v2 = 0 + 10v + -10v 8 + -10v + 2v2 = 10v + -10v Combine like terms: 10v + -10v = 0 8 + -10v + 2v2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -5v + v2) = 0 Factor a trinomial. 2((1 + -1v)(4 + -1v)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -1v)' equal to zero and attempt to solve: Simplifying 1 + -1v = 0 Solving 1 + -1v = 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 + -1v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1v = 0 + -1 -1v = 0 + -1 Combine like terms: 0 + -1 = -1 -1v = -1 Divide each side by '-1'. v = 1 Simplifying v = 1Subproblem 2
Set the factor '(4 + -1v)' equal to zero and attempt to solve: Simplifying 4 + -1v = 0 Solving 4 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 0 + -4 -1v = 0 + -4 Combine like terms: 0 + -4 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4Solution
v = {1, 4}
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