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Simplifying 9v3 + 15v + -36v = 0 Reorder the terms: 15v + -36v + 9v3 = 0 Combine like terms: 15v + -36v = -21v -21v + 9v3 = 0 Solving -21v + 9v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '3v'. 3v(-7 + 3v2) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'v' equal to zero and attempt to solve: Simplifying v = 0 Solving v = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v = 0Subproblem 2
Set the factor '(-7 + 3v2)' equal to zero and attempt to solve: Simplifying -7 + 3v2 = 0 Solving -7 + 3v2 = 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 + 3v2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3v2 = 0 + 7 3v2 = 0 + 7 Combine like terms: 0 + 7 = 7 3v2 = 7 Divide each side by '3'. v2 = 2.333333333 Simplifying v2 = 2.333333333 Take the square root of each side: v = {-1.527525232, 1.527525232}Solution
v = {0, -1.527525232, 1.527525232}
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