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Simplifying 9v = 21v2 + -30 Reorder the terms: 9v = -30 + 21v2 Solving 9v = -30 + 21v2 Solving for variable 'v'. Reorder the terms: 30 + 9v + -21v2 = -30 + 21v2 + 30 + -21v2 Reorder the terms: 30 + 9v + -21v2 = -30 + 30 + 21v2 + -21v2 Combine like terms: -30 + 30 = 0 30 + 9v + -21v2 = 0 + 21v2 + -21v2 30 + 9v + -21v2 = 21v2 + -21v2 Combine like terms: 21v2 + -21v2 = 0 30 + 9v + -21v2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(10 + 3v + -7v2) = 0 Factor a trinomial. 3((10 + -7v)(1 + v)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(10 + -7v)' equal to zero and attempt to solve: Simplifying 10 + -7v = 0 Solving 10 + -7v = 0 Move all terms containing v to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -7v = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -7v = 0 + -10 -7v = 0 + -10 Combine like terms: 0 + -10 = -10 -7v = -10 Divide each side by '-7'. v = 1.428571429 Simplifying v = 1.428571429Subproblem 2
Set the factor '(1 + v)' equal to zero and attempt to solve: Simplifying 1 + v = 0 Solving 1 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + v = 0 + -1 v = 0 + -1 Combine like terms: 0 + -1 = -1 v = -1 Simplifying v = -1Solution
v = {1.428571429, -1}
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