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Simplifying 2v2 + 10v + -49 = 3v Reorder the terms: -49 + 10v + 2v2 = 3v Solving -49 + 10v + 2v2 = 3v Solving for variable 'v'. Reorder the terms: -49 + 10v + -3v + 2v2 = 3v + -3v Combine like terms: 10v + -3v = 7v -49 + 7v + 2v2 = 3v + -3v Combine like terms: 3v + -3v = 0 -49 + 7v + 2v2 = 0 Factor a trinomial. (-7 + -1v)(7 + -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 '(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 = {-7, 3.5}
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