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Simplifying 13v = 5v2 + -6 Reorder the terms: 13v = -6 + 5v2 Solving 13v = -6 + 5v2 Solving for variable 'v'. Reorder the terms: 6 + 13v + -5v2 = -6 + 5v2 + 6 + -5v2 Reorder the terms: 6 + 13v + -5v2 = -6 + 6 + 5v2 + -5v2 Combine like terms: -6 + 6 = 0 6 + 13v + -5v2 = 0 + 5v2 + -5v2 6 + 13v + -5v2 = 5v2 + -5v2 Combine like terms: 5v2 + -5v2 = 0 6 + 13v + -5v2 = 0 Factor a trinomial. (3 + -1v)(2 + 5v) = 0Subproblem 1
Set the factor '(3 + -1v)' equal to zero and attempt to solve: Simplifying 3 + -1v = 0 Solving 3 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 0 + -3 -1v = 0 + -3 Combine like terms: 0 + -3 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3Subproblem 2
Set the factor '(2 + 5v)' equal to zero and attempt to solve: Simplifying 2 + 5v = 0 Solving 2 + 5v = 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 + 5v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5v = 0 + -2 5v = 0 + -2 Combine like terms: 0 + -2 = -2 5v = -2 Divide each side by '5'. v = -0.4 Simplifying v = -0.4Solution
v = {3, -0.4}
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