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Simplifying 3v2 + -26 = 7v Reorder the terms: -26 + 3v2 = 7v Solving -26 + 3v2 = 7v Solving for variable 'v'. Reorder the terms: -26 + -7v + 3v2 = 7v + -7v Combine like terms: 7v + -7v = 0 -26 + -7v + 3v2 = 0 Factor a trinomial. (-2 + -1v)(13 + -3v) = 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 + -3v)' equal to zero and attempt to solve: Simplifying 13 + -3v = 0 Solving 13 + -3v = 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 + -3v = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -3v = 0 + -13 -3v = 0 + -13 Combine like terms: 0 + -13 = -13 -3v = -13 Divide each side by '-3'. v = 4.333333333 Simplifying v = 4.333333333Solution
v = {-2, 4.333333333}
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