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Simplifying 2v2 = 13v + 7 Reorder the terms: 2v2 = 7 + 13v Solving 2v2 = 7 + 13v Solving for variable 'v'. Reorder the terms: -7 + -13v + 2v2 = 7 + 13v + -7 + -13v Reorder the terms: -7 + -13v + 2v2 = 7 + -7 + 13v + -13v Combine like terms: 7 + -7 = 0 -7 + -13v + 2v2 = 0 + 13v + -13v -7 + -13v + 2v2 = 13v + -13v Combine like terms: 13v + -13v = 0 -7 + -13v + 2v2 = 0 Factor a trinomial. (-1 + -2v)(7 + -1v) = 0Subproblem 1
Set the factor '(-1 + -2v)' equal to zero and attempt to solve: Simplifying -1 + -2v = 0 Solving -1 + -2v = 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 + -2v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2v = 0 + 1 -2v = 0 + 1 Combine like terms: 0 + 1 = 1 -2v = 1 Divide each side by '-2'. v = -0.5 Simplifying v = -0.5Subproblem 2
Set the factor '(7 + -1v)' equal to zero and attempt to solve: Simplifying 7 + -1v = 0 Solving 7 + -1v = 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 + -1v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1v = 0 + -7 -1v = 0 + -7 Combine like terms: 0 + -7 = -7 -1v = -7 Divide each side by '-1'. v = 7 Simplifying v = 7Solution
v = {-0.5, 7}
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