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Simplifying 5v2 = 26v + 24 Reorder the terms: 5v2 = 24 + 26v Solving 5v2 = 24 + 26v Solving for variable 'v'. Reorder the terms: -24 + -26v + 5v2 = 24 + 26v + -24 + -26v Reorder the terms: -24 + -26v + 5v2 = 24 + -24 + 26v + -26v Combine like terms: 24 + -24 = 0 -24 + -26v + 5v2 = 0 + 26v + -26v -24 + -26v + 5v2 = 26v + -26v Combine like terms: 26v + -26v = 0 -24 + -26v + 5v2 = 0 Factor a trinomial. (-4 + -5v)(6 + -1v) = 0Subproblem 1
Set the factor '(-4 + -5v)' equal to zero and attempt to solve: Simplifying -4 + -5v = 0 Solving -4 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5v = 0 + 4 -5v = 0 + 4 Combine like terms: 0 + 4 = 4 -5v = 4 Divide each side by '-5'. v = -0.8 Simplifying v = -0.8Subproblem 2
Set the factor '(6 + -1v)' equal to zero and attempt to solve: Simplifying 6 + -1v = 0 Solving 6 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1v = 0 + -6 -1v = 0 + -6 Combine like terms: 0 + -6 = -6 -1v = -6 Divide each side by '-1'. v = 6 Simplifying v = 6Solution
v = {-0.8, 6}
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