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Simplifying 25v2 + 60vw + 36w2 = 0 Reorder the terms: 60vw + 25v2 + 36w2 = 0 Solving 60vw + 25v2 + 36w2 = 0 Solving for variable 'v'. Factor a trinomial. (5v + 6w)(5v + 6w) = 0Subproblem 1
Set the factor '(5v + 6w)' equal to zero and attempt to solve: Simplifying 5v + 6w = 0 Solving 5v + 6w = 0 Move all terms containing v to the left, all other terms to the right. Add '-6w' to each side of the equation. 5v + 6w + -6w = 0 + -6w Combine like terms: 6w + -6w = 0 5v + 0 = 0 + -6w 5v = 0 + -6w Remove the zero: 5v = -6w Divide each side by '5'. v = -1.2w Simplifying v = -1.2wSubproblem 2
Set the factor '(5v + 6w)' equal to zero and attempt to solve: Simplifying 5v + 6w = 0 Solving 5v + 6w = 0 Move all terms containing v to the left, all other terms to the right. Add '-6w' to each side of the equation. 5v + 6w + -6w = 0 + -6w Combine like terms: 6w + -6w = 0 5v + 0 = 0 + -6w 5v = 0 + -6w Remove the zero: 5v = -6w Divide each side by '5'. v = -1.2w Simplifying v = -1.2wSolution
v = {-1.2w, -1.2w}
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