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Simplifying 4v2 + 324 = 72v Reorder the terms: 324 + 4v2 = 72v Solving 324 + 4v2 = 72v Solving for variable 'v'. Reorder the terms: 324 + -72v + 4v2 = 72v + -72v Combine like terms: 72v + -72v = 0 324 + -72v + 4v2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(81 + -18v + v2) = 0 Factor a trinomial. 4((9 + -1v)(9 + -1v)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(9 + -1v)' equal to zero and attempt to solve: Simplifying 9 + -1v = 0 Solving 9 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1v = 0 + -9 -1v = 0 + -9 Combine like terms: 0 + -9 = -9 -1v = -9 Divide each side by '-1'. v = 9 Simplifying v = 9Subproblem 2
Set the factor '(9 + -1v)' equal to zero and attempt to solve: Simplifying 9 + -1v = 0 Solving 9 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1v = 0 + -9 -1v = 0 + -9 Combine like terms: 0 + -9 = -9 -1v = -9 Divide each side by '-1'. v = 9 Simplifying v = 9Solution
v = {9, 9}
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