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Simplifying 5v2 + -6 = 7v Reorder the terms: -6 + 5v2 = 7v Solving -6 + 5v2 = 7v Solving for variable 'v'. Reorder the terms: -6 + -7v + 5v2 = 7v + -7v Combine like terms: 7v + -7v = 0 -6 + -7v + 5v2 = 0 Factor a trinomial. (-3 + -5v)(2 + -1v) = 0Subproblem 1
Set the factor '(-3 + -5v)' equal to zero and attempt to solve: Simplifying -3 + -5v = 0 Solving -3 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5v = 0 + 3 -5v = 0 + 3 Combine like terms: 0 + 3 = 3 -5v = 3 Divide each side by '-5'. v = -0.6 Simplifying v = -0.6Subproblem 2
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 = 2Solution
v = {-0.6, 2}
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