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Simplifying 2v2(9v + 7) = 0 Reorder the terms: 2v2(7 + 9v) = 0 (7 * 2v2 + 9v * 2v2) = 0 (14v2 + 18v3) = 0 Solving 14v2 + 18v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '2v2'. 2v2(7 + 9v) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'v2' equal to zero and attempt to solve: Simplifying v2 = 0 Solving v2 = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v2 = 0 Take the square root of each side: v = {0}Subproblem 2
Set the factor '(7 + 9v)' equal to zero and attempt to solve: Simplifying 7 + 9v = 0 Solving 7 + 9v = 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 + 9v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9v = 0 + -7 9v = 0 + -7 Combine like terms: 0 + -7 = -7 9v = -7 Divide each side by '9'. v = -0.7777777778 Simplifying v = -0.7777777778Solution
v = {0, -0.7777777778}
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