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Simplifying 2v2 + -28 = v Reorder the terms: -28 + 2v2 = v Solving -28 + 2v2 = v Solving for variable 'v'. Reorder the terms: -28 + -1v + 2v2 = v + -1v Combine like terms: v + -1v = 0 -28 + -1v + 2v2 = 0 Factor a trinomial. (-7 + -2v)(4 + -1v) = 0Subproblem 1
Set the factor '(-7 + -2v)' equal to zero and attempt to solve: Simplifying -7 + -2v = 0 Solving -7 + -2v = 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 + -2v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2v = 0 + 7 -2v = 0 + 7 Combine like terms: 0 + 7 = 7 -2v = 7 Divide each side by '-2'. v = -3.5 Simplifying v = -3.5Subproblem 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 = {-3.5, 4}
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