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Simplifying -49v3 + 36v = 0 Reorder the terms: 36v + -49v3 = 0 Solving 36v + -49v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), 'v'. v(36 + -49v2) = 0 Factor a difference between two squares. v((6 + 7v)(6 + -7v)) = 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 '(6 + 7v)' equal to zero and attempt to solve: Simplifying 6 + 7v = 0 Solving 6 + 7v = 0 Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 7v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7v = 0 + -6 7v = 0 + -6 Combine like terms: 0 + -6 = -6 7v = -6 Divide each side by '7'. v = -0.8571428571 Simplifying v = -0.8571428571Subproblem 3
Set the factor '(6 + -7v)' equal to zero and attempt to solve: Simplifying 6 + -7v = 0 Solving 6 + -7v = 0 Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7v = 0 + -6 -7v = 0 + -6 Combine like terms: 0 + -6 = -6 -7v = -6 Divide each side by '-7'. v = 0.8571428571 Simplifying v = 0.8571428571Solution
v = {0, -0.8571428571, 0.8571428571}
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