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Simplifying 4v2 + -5v = 26 Reorder the terms: -5v + 4v2 = 26 Solving -5v + 4v2 = 26 Solving for variable 'v'. Reorder the terms: -26 + -5v + 4v2 = 26 + -26 Combine like terms: 26 + -26 = 0 -26 + -5v + 4v2 = 0 Factor a trinomial. (-2 + -1v)(13 + -4v) = 0Subproblem 1
Set the factor '(-2 + -1v)' equal to zero and attempt to solve: Simplifying -2 + -1v = 0 Solving -2 + -1v = 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 + -1v = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1v = 0 + 2 -1v = 0 + 2 Combine like terms: 0 + 2 = 2 -1v = 2 Divide each side by '-1'. v = -2 Simplifying v = -2Subproblem 2
Set the factor '(13 + -4v)' equal to zero and attempt to solve: Simplifying 13 + -4v = 0 Solving 13 + -4v = 0 Move all terms containing v to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -4v = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -4v = 0 + -13 -4v = 0 + -13 Combine like terms: 0 + -13 = -13 -4v = -13 Divide each side by '-4'. v = 3.25 Simplifying v = 3.25Solution
v = {-2, 3.25}
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