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Simplifying 2v2 + -15v + -4 = 4 Reorder the terms: -4 + -15v + 2v2 = 4 Solving -4 + -15v + 2v2 = 4 Solving for variable 'v'. Reorder the terms: -4 + -4 + -15v + 2v2 = 4 + -4 Combine like terms: -4 + -4 = -8 -8 + -15v + 2v2 = 4 + -4 Combine like terms: 4 + -4 = 0 -8 + -15v + 2v2 = 0 Factor a trinomial. (-1 + -2v)(8 + -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 '(8 + -1v)' equal to zero and attempt to solve: Simplifying 8 + -1v = 0 Solving 8 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1v = 0 + -8 -1v = 0 + -8 Combine like terms: 0 + -8 = -8 -1v = -8 Divide each side by '-1'. v = 8 Simplifying v = 8Solution
v = {-0.5, 8}
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