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Simplifying 2v2 + -133 = 5v Reorder the terms: -133 + 2v2 = 5v Solving -133 + 2v2 = 5v Solving for variable 'v'. Reorder the terms: -133 + -5v + 2v2 = 5v + -5v Combine like terms: 5v + -5v = 0 -133 + -5v + 2v2 = 0 Factor a trinomial. (-7 + -1v)(19 + -2v) = 0Subproblem 1
Set the factor '(-7 + -1v)' equal to zero and attempt to solve: Simplifying -7 + -1v = 0 Solving -7 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1v = 0 + 7 -1v = 0 + 7 Combine like terms: 0 + 7 = 7 -1v = 7 Divide each side by '-1'. v = -7 Simplifying v = -7Subproblem 2
Set the factor '(19 + -2v)' equal to zero and attempt to solve: Simplifying 19 + -2v = 0 Solving 19 + -2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -2v = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -2v = 0 + -19 -2v = 0 + -19 Combine like terms: 0 + -19 = -19 -2v = -19 Divide each side by '-2'. v = 9.5 Simplifying v = 9.5Solution
v = {-7, 9.5}
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