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Simplifying 3v2 = -13v + 10 Reorder the terms: 3v2 = 10 + -13v Solving 3v2 = 10 + -13v Solving for variable 'v'. Reorder the terms: -10 + 13v + 3v2 = 10 + -13v + -10 + 13v Reorder the terms: -10 + 13v + 3v2 = 10 + -10 + -13v + 13v Combine like terms: 10 + -10 = 0 -10 + 13v + 3v2 = 0 + -13v + 13v -10 + 13v + 3v2 = -13v + 13v Combine like terms: -13v + 13v = 0 -10 + 13v + 3v2 = 0 Factor a trinomial. (-5 + -1v)(2 + -3v) = 0Subproblem 1
Set the factor '(-5 + -1v)' equal to zero and attempt to solve: Simplifying -5 + -1v = 0 Solving -5 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1v = 0 + 5 -1v = 0 + 5 Combine like terms: 0 + 5 = 5 -1v = 5 Divide each side by '-1'. v = -5 Simplifying v = -5Subproblem 2
Set the factor '(2 + -3v)' equal to zero and attempt to solve: Simplifying 2 + -3v = 0 Solving 2 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3v = 0 + -2 -3v = 0 + -2 Combine like terms: 0 + -2 = -2 -3v = -2 Divide each side by '-3'. v = 0.6666666667 Simplifying v = 0.6666666667Solution
v = {-5, 0.6666666667}
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