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Simplifying 2v2 + 28v = 30 Reorder the terms: 28v + 2v2 = 30 Solving 28v + 2v2 = 30 Solving for variable 'v'. Reorder the terms: -30 + 28v + 2v2 = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + 28v + 2v2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-15 + 14v + v2) = 0 Factor a trinomial. 2((-15 + -1v)(1 + -1v)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-15 + -1v)' equal to zero and attempt to solve: Simplifying -15 + -1v = 0 Solving -15 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1v = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1v = 0 + 15 -1v = 0 + 15 Combine like terms: 0 + 15 = 15 -1v = 15 Divide each side by '-1'. v = -15 Simplifying v = -15Subproblem 2
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 = 1Solution
v = {-15, 1}
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