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Simplifying 25v2 + -40vw + 16w2 = 0 Reorder the terms: -40vw + 25v2 + 16w2 = 0 Solving -40vw + 25v2 + 16w2 = 0 Solving for variable 'v'. Factor a trinomial. (5v + -4w)(5v + -4w) = 0Subproblem 1
Set the factor '(5v + -4w)' equal to zero and attempt to solve: Simplifying 5v + -4w = 0 Solving 5v + -4w = 0 Move all terms containing v to the left, all other terms to the right. Add '4w' to each side of the equation. 5v + -4w + 4w = 0 + 4w Combine like terms: -4w + 4w = 0 5v + 0 = 0 + 4w 5v = 0 + 4w Remove the zero: 5v = 4w Divide each side by '5'. v = 0.8w Simplifying v = 0.8wSubproblem 2
Set the factor '(5v + -4w)' equal to zero and attempt to solve: Simplifying 5v + -4w = 0 Solving 5v + -4w = 0 Move all terms containing v to the left, all other terms to the right. Add '4w' to each side of the equation. 5v + -4w + 4w = 0 + 4w Combine like terms: -4w + 4w = 0 5v + 0 = 0 + 4w 5v = 0 + 4w Remove the zero: 5v = 4w Divide each side by '5'. v = 0.8w Simplifying v = 0.8wSolution
v = {0.8w, 0.8w}
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