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Simplifying 2v2 = 15 + 7v Solving 2v2 = 15 + 7v Solving for variable 'v'. Reorder the terms: -15 + -7v + 2v2 = 15 + 7v + -15 + -7v Reorder the terms: -15 + -7v + 2v2 = 15 + -15 + 7v + -7v Combine like terms: 15 + -15 = 0 -15 + -7v + 2v2 = 0 + 7v + -7v -15 + -7v + 2v2 = 7v + -7v Combine like terms: 7v + -7v = 0 -15 + -7v + 2v2 = 0 Factor a trinomial. (-3 + -2v)(5 + -1v) = 0Subproblem 1
Set the factor '(-3 + -2v)' equal to zero and attempt to solve: Simplifying -3 + -2v = 0 Solving -3 + -2v = 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 + -2v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2v = 0 + 3 -2v = 0 + 3 Combine like terms: 0 + 3 = 3 -2v = 3 Divide each side by '-2'. v = -1.5 Simplifying v = -1.5Subproblem 2
Set the factor '(5 + -1v)' equal to zero and attempt to solve: Simplifying 5 + -1v = 0 Solving 5 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1v = 0 + -5 -1v = 0 + -5 Combine like terms: 0 + -5 = -5 -1v = -5 Divide each side by '-1'. v = 5 Simplifying v = 5Solution
v = {-1.5, 5}
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