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Simplifying -1v2 = 49 + -14v Solving -1v2 = 49 + -14v Solving for variable 'v'. Reorder the terms: -49 + 14v + -1v2 = 49 + -14v + -49 + 14v Reorder the terms: -49 + 14v + -1v2 = 49 + -49 + -14v + 14v Combine like terms: 49 + -49 = 0 -49 + 14v + -1v2 = 0 + -14v + 14v -49 + 14v + -1v2 = -14v + 14v Combine like terms: -14v + 14v = 0 -49 + 14v + -1v2 = 0 Factor a trinomial. (-7 + v)(7 + -1v) = 0Subproblem 1
Set the factor '(-7 + v)' equal to zero and attempt to solve: Simplifying -7 + v = 0 Solving -7 + v = 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 + v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + v = 0 + 7 v = 0 + 7 Combine like terms: 0 + 7 = 7 v = 7 Simplifying v = 7Subproblem 2
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 = 7Solution
v = {7, 7}
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