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Simplifying 2v2 = -1v + 28 Reorder the terms: 2v2 = 28 + -1v Solving 2v2 = 28 + -1v Solving for variable 'v'. Reorder the terms: -28 + v + 2v2 = 28 + -1v + -28 + v Reorder the terms: -28 + v + 2v2 = 28 + -28 + -1v + v Combine like terms: 28 + -28 = 0 -28 + v + 2v2 = 0 + -1v + v -28 + v + 2v2 = -1v + v Combine like terms: -1v + v = 0 -28 + v + 2v2 = 0 Factor a trinomial. (-4 + -1v)(7 + -2v) = 0Subproblem 1
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 = -4Subproblem 2
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 = 3.5Solution
v = {-4, 3.5}
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