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Simplifying v2 + 3vj + -40j2 = 0 Reorder the terms: 3jv + -40j2 + v2 = 0 Solving 3jv + -40j2 + v2 = 0 Solving for variable 'j'. Factor a trinomial. (-8j + -1v)(5j + -1v) = 0Subproblem 1
Set the factor '(-8j + -1v)' equal to zero and attempt to solve: Simplifying -8j + -1v = 0 Solving -8j + -1v = 0 Move all terms containing j to the left, all other terms to the right. Add 'v' to each side of the equation. -8j + -1v + v = 0 + v Combine like terms: -1v + v = 0 -8j + 0 = 0 + v -8j = 0 + v Remove the zero: -8j = v Divide each side by '-8'. j = -0.125v Simplifying j = -0.125vSubproblem 2
Set the factor '(5j + -1v)' equal to zero and attempt to solve: Simplifying 5j + -1v = 0 Solving 5j + -1v = 0 Move all terms containing j to the left, all other terms to the right. Add 'v' to each side of the equation. 5j + -1v + v = 0 + v Combine like terms: -1v + v = 0 5j + 0 = 0 + v 5j = 0 + v Remove the zero: 5j = v Divide each side by '5'. j = 0.2v Simplifying j = 0.2vSolution
j = {-0.125v, 0.2v}
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