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Simplifying 0 = v(v + 3) Reorder the terms: 0 = v(3 + v) 0 = (3 * v + v * v) 0 = (3v + v2) Solving 0 = 3v + v2 Solving for variable 'v'. Remove the zero: -3v + -1v2 = 3v + v2 + -3v + -1v2 Reorder the terms: -3v + -1v2 = 3v + -3v + v2 + -1v2 Combine like terms: 3v + -3v = 0 -3v + -1v2 = 0 + v2 + -1v2 -3v + -1v2 = v2 + -1v2 Combine like terms: v2 + -1v2 = 0 -3v + -1v2 = 0 Factor out the Greatest Common Factor (GCF), '-1v'. -1v(3 + v) = 0 Ignore the factor -1.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 '(3 + v)' equal to zero and attempt to solve: Simplifying 3 + v = 0 Solving 3 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + v = 0 + -3 v = 0 + -3 Combine like terms: 0 + -3 = -3 v = -3 Simplifying v = -3Solution
v = {0, -3}
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