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Simplifying 7 + -26v + -8v2 = 0 Solving 7 + -26v + -8v2 = 0 Solving for variable 'v'. Factor a trinomial. (1 + -4v)(7 + 2v) = 0Subproblem 1
Set the factor '(1 + -4v)' equal to zero and attempt to solve: Simplifying 1 + -4v = 0 Solving 1 + -4v = 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 + -4v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4v = 0 + -1 -4v = 0 + -1 Combine like terms: 0 + -1 = -1 -4v = -1 Divide each side by '-4'. v = 0.25 Simplifying v = 0.25Subproblem 2
Set the factor '(7 + 2v)' equal to zero and attempt to solve: Simplifying 7 + 2v = 0 Solving 7 + 2v = 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 + 2v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2v = 0 + -7 2v = 0 + -7 Combine like terms: 0 + -7 = -7 2v = -7 Divide each side by '2'. v = -3.5 Simplifying v = -3.5Solution
v = {0.25, -3.5}
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