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Simplifying 3v2 + 168 = 45v Reorder the terms: 168 + 3v2 = 45v Solving 168 + 3v2 = 45v Solving for variable 'v'. Reorder the terms: 168 + -45v + 3v2 = 45v + -45v Combine like terms: 45v + -45v = 0 168 + -45v + 3v2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(56 + -15v + v2) = 0 Factor a trinomial. 3((7 + -1v)(8 + -1v)) = 0 Ignore the factor 3.Subproblem 1
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 = 7Subproblem 2
Set the factor '(8 + -1v)' equal to zero and attempt to solve: Simplifying 8 + -1v = 0 Solving 8 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1v = 0 + -8 -1v = 0 + -8 Combine like terms: 0 + -8 = -8 -1v = -8 Divide each side by '-1'. v = 8 Simplifying v = 8Solution
v = {7, 8}
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