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Simplifying 4v2 + -2v + -48 = 3v2 Reorder the terms: -48 + -2v + 4v2 = 3v2 Solving -48 + -2v + 4v2 = 3v2 Solving for variable 'v'. Combine like terms: 4v2 + -3v2 = 1v2 -48 + -2v + 1v2 = 3v2 + -3v2 Combine like terms: 3v2 + -3v2 = 0 -48 + -2v + 1v2 = 0 Factor a trinomial. (-6 + -1v)(8 + -1v) = 0Subproblem 1
Set the factor '(-6 + -1v)' equal to zero and attempt to solve: Simplifying -6 + -1v = 0 Solving -6 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1v = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1v = 0 + 6 -1v = 0 + 6 Combine like terms: 0 + 6 = 6 -1v = 6 Divide each side by '-1'. v = -6 Simplifying v = -6Subproblem 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 = {-6, 8}
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