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Simplifying 5v2 + -8v = 8 + -5v Reorder the terms: -8v + 5v2 = 8 + -5v Solving -8v + 5v2 = 8 + -5v Solving for variable 'v'. Reorder the terms: -8 + -8v + 5v + 5v2 = 8 + -5v + -8 + 5v Combine like terms: -8v + 5v = -3v -8 + -3v + 5v2 = 8 + -5v + -8 + 5v Reorder the terms: -8 + -3v + 5v2 = 8 + -8 + -5v + 5v Combine like terms: 8 + -8 = 0 -8 + -3v + 5v2 = 0 + -5v + 5v -8 + -3v + 5v2 = -5v + 5v Combine like terms: -5v + 5v = 0 -8 + -3v + 5v2 = 0 Factor a trinomial. (-1 + -1v)(8 + -5v) = 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 '(8 + -5v)' equal to zero and attempt to solve: Simplifying 8 + -5v = 0 Solving 8 + -5v = 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 + -5v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5v = 0 + -8 -5v = 0 + -8 Combine like terms: 0 + -8 = -8 -5v = -8 Divide each side by '-5'. v = 1.6 Simplifying v = 1.6Solution
v = {-1, 1.6}
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