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Simplifying 10v2 + -56v + 26 = -4 Reorder the terms: 26 + -56v + 10v2 = -4 Solving 26 + -56v + 10v2 = -4 Solving for variable 'v'. Reorder the terms: 26 + 4 + -56v + 10v2 = -4 + 4 Combine like terms: 26 + 4 = 30 30 + -56v + 10v2 = -4 + 4 Combine like terms: -4 + 4 = 0 30 + -56v + 10v2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(15 + -28v + 5v2) = 0 Factor a trinomial. 2((3 + -5v)(5 + -1v)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -5v)' equal to zero and attempt to solve: Simplifying 3 + -5v = 0 Solving 3 + -5v = 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 + -5v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5v = 0 + -3 -5v = 0 + -3 Combine like terms: 0 + -3 = -3 -5v = -3 Divide each side by '-5'. v = 0.6 Simplifying v = 0.6Subproblem 2
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 = 5Solution
v = {0.6, 5}
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