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Simplifying 2v2 + -7v + -2 = -7 Reorder the terms: -2 + -7v + 2v2 = -7 Solving -2 + -7v + 2v2 = -7 Solving for variable 'v'. Reorder the terms: -2 + 7 + -7v + 2v2 = -7 + 7 Combine like terms: -2 + 7 = 5 5 + -7v + 2v2 = -7 + 7 Combine like terms: -7 + 7 = 0 5 + -7v + 2v2 = 0 Factor a trinomial. (1 + -1v)(5 + -2v) = 0Subproblem 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 '(5 + -2v)' equal to zero and attempt to solve: Simplifying 5 + -2v = 0 Solving 5 + -2v = 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 + -2v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2v = 0 + -5 -2v = 0 + -5 Combine like terms: 0 + -5 = -5 -2v = -5 Divide each side by '-2'. v = 2.5 Simplifying v = 2.5Solution
v = {1, 2.5}
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