49w^2-56wv+16v^2=0

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Solution for 49w^2-56wv+16v^2=0 equation:


Simplifying
49w2 + -56wv + 16v2 = 0

Reorder the terms:
-56vw + 16v2 + 49w2 = 0

Solving
-56vw + 16v2 + 49w2 = 0

Solving for variable 'v'.

Factor a trinomial.
(4v + -7w)(4v + -7w) = 0

Subproblem 1

Set the factor '(4v + -7w)' equal to zero and attempt to solve: Simplifying 4v + -7w = 0 Solving 4v + -7w = 0 Move all terms containing v to the left, all other terms to the right. Add '7w' to each side of the equation. 4v + -7w + 7w = 0 + 7w Combine like terms: -7w + 7w = 0 4v + 0 = 0 + 7w 4v = 0 + 7w Remove the zero: 4v = 7w Divide each side by '4'. v = 1.75w Simplifying v = 1.75w

Subproblem 2

Set the factor '(4v + -7w)' equal to zero and attempt to solve: Simplifying 4v + -7w = 0 Solving 4v + -7w = 0 Move all terms containing v to the left, all other terms to the right. Add '7w' to each side of the equation. 4v + -7w + 7w = 0 + 7w Combine like terms: -7w + 7w = 0 4v + 0 = 0 + 7w 4v = 0 + 7w Remove the zero: 4v = 7w Divide each side by '4'. v = 1.75w Simplifying v = 1.75w

Solution

v = {1.75w, 1.75w}

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