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Simplifying -10v2 = 13v + 3 Reorder the terms: -10v2 = 3 + 13v Solving -10v2 = 3 + 13v Solving for variable 'v'. Reorder the terms: -3 + -13v + -10v2 = 3 + 13v + -3 + -13v Reorder the terms: -3 + -13v + -10v2 = 3 + -3 + 13v + -13v Combine like terms: 3 + -3 = 0 -3 + -13v + -10v2 = 0 + 13v + -13v -3 + -13v + -10v2 = 13v + -13v Combine like terms: 13v + -13v = 0 -3 + -13v + -10v2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(3 + 13v + 10v2) = 0 Factor a trinomial. -1((1 + v)(3 + 10v)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1 + v)' equal to zero and attempt to solve: Simplifying 1 + v = 0 Solving 1 + v = 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 + v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + v = 0 + -1 v = 0 + -1 Combine like terms: 0 + -1 = -1 v = -1 Simplifying v = -1Subproblem 2
Set the factor '(3 + 10v)' equal to zero and attempt to solve: Simplifying 3 + 10v = 0 Solving 3 + 10v = 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 + 10v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 10v = 0 + -3 10v = 0 + -3 Combine like terms: 0 + -3 = -3 10v = -3 Divide each side by '10'. v = -0.3 Simplifying v = -0.3Solution
v = {-1, -0.3}
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