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Simplifying w2 + 2wj + -35j2 = 0 Reorder the terms: 2jw + -35j2 + w2 = 0 Solving 2jw + -35j2 + w2 = 0 Solving for variable 'j'. Factor a trinomial. (-7j + -1w)(5j + -1w) = 0Subproblem 1
Set the factor '(-7j + -1w)' equal to zero and attempt to solve: Simplifying -7j + -1w = 0 Solving -7j + -1w = 0 Move all terms containing j to the left, all other terms to the right. Add 'w' to each side of the equation. -7j + -1w + w = 0 + w Combine like terms: -1w + w = 0 -7j + 0 = 0 + w -7j = 0 + w Remove the zero: -7j = w Divide each side by '-7'. j = -0.1428571429w Simplifying j = -0.1428571429wSubproblem 2
Set the factor '(5j + -1w)' equal to zero and attempt to solve: Simplifying 5j + -1w = 0 Solving 5j + -1w = 0 Move all terms containing j to the left, all other terms to the right. Add 'w' to each side of the equation. 5j + -1w + w = 0 + w Combine like terms: -1w + w = 0 5j + 0 = 0 + w 5j = 0 + w Remove the zero: 5j = w Divide each side by '5'. j = 0.2w Simplifying j = 0.2wSolution
j = {-0.1428571429w, 0.2w}
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