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Simplifying 7v4 + -38v3 + 15v2 = 0 Reorder the terms: 15v2 + -38v3 + 7v4 = 0 Solving 15v2 + -38v3 + 7v4 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), 'v2'. v2(15 + -38v + 7v2) = 0 Factor a trinomial. v2((3 + -7v)(5 + -1v)) = 0Subproblem 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 '(3 + -7v)' equal to zero and attempt to solve: Simplifying 3 + -7v = 0 Solving 3 + -7v = 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 + -7v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7v = 0 + -3 -7v = 0 + -3 Combine like terms: 0 + -3 = -3 -7v = -3 Divide each side by '-7'. v = 0.4285714286 Simplifying v = 0.4285714286Subproblem 3
Set the factor '(5 + -1v)' equal to zero and attempt to solve: Simplifying 5 + -1v = 0 Solving 5 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1v = 0 + -5 -1v = 0 + -5 Combine like terms: 0 + -5 = -5 -1v = -5 Divide each side by '-1'. v = 5 Simplifying v = 5Solution
v = {0, 0.4285714286, 5}
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