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Simplifying 9v2 = 30v + -25 Reorder the terms: 9v2 = -25 + 30v Solving 9v2 = -25 + 30v Solving for variable 'v'. Reorder the terms: 25 + -30v + 9v2 = -25 + 30v + 25 + -30v Reorder the terms: 25 + -30v + 9v2 = -25 + 25 + 30v + -30v Combine like terms: -25 + 25 = 0 25 + -30v + 9v2 = 0 + 30v + -30v 25 + -30v + 9v2 = 30v + -30v Combine like terms: 30v + -30v = 0 25 + -30v + 9v2 = 0 Factor a trinomial. (5 + -3v)(5 + -3v) = 0Subproblem 1
Set the factor '(5 + -3v)' equal to zero and attempt to solve: Simplifying 5 + -3v = 0 Solving 5 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3v = 0 + -5 -3v = 0 + -5 Combine like terms: 0 + -5 = -5 -3v = -5 Divide each side by '-3'. v = 1.666666667 Simplifying v = 1.666666667Subproblem 2
Set the factor '(5 + -3v)' equal to zero and attempt to solve: Simplifying 5 + -3v = 0 Solving 5 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3v = 0 + -5 -3v = 0 + -5 Combine like terms: 0 + -5 = -5 -3v = -5 Divide each side by '-3'. v = 1.666666667 Simplifying v = 1.666666667Solution
v = {1.666666667, 1.666666667}
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