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Simplifying 7v3 = 122v Solving 7v3 = 122v Solving for variable 'v'. Reorder the terms: -122v + 7v3 = 122v + -122v Combine like terms: 122v + -122v = 0 -122v + 7v3 = 0 Factor out the Greatest Common Factor (GCF), 'v'. v(-122 + 7v2) = 0Subproblem 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 '(-122 + 7v2)' equal to zero and attempt to solve: Simplifying -122 + 7v2 = 0 Solving -122 + 7v2 = 0 Move all terms containing v to the left, all other terms to the right. Add '122' to each side of the equation. -122 + 122 + 7v2 = 0 + 122 Combine like terms: -122 + 122 = 0 0 + 7v2 = 0 + 122 7v2 = 0 + 122 Combine like terms: 0 + 122 = 122 7v2 = 122 Divide each side by '7'. v2 = 17.42857143 Simplifying v2 = 17.42857143 Take the square root of each side: v = {-4.174754056, 4.174754056}Solution
v = {0, -4.174754056, 4.174754056}
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