36w^2-12wf+f^2=0

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Solution for 36w^2-12wf+f^2=0 equation:


Simplifying
36w2 + -12wf + f2 = 0

Reorder the terms:
-12fw + f2 + 36w2 = 0

Solving
-12fw + f2 + 36w2 = 0

Solving for variable 'f'.

Factor a trinomial.
(f + -6w)(f + -6w) = 0

Subproblem 1

Set the factor '(f + -6w)' equal to zero and attempt to solve: Simplifying f + -6w = 0 Solving f + -6w = 0 Move all terms containing f to the left, all other terms to the right. Add '6w' to each side of the equation. f + -6w + 6w = 0 + 6w Combine like terms: -6w + 6w = 0 f + 0 = 0 + 6w f = 0 + 6w Remove the zero: f = 6w Simplifying f = 6w

Subproblem 2

Set the factor '(f + -6w)' equal to zero and attempt to solve: Simplifying f + -6w = 0 Solving f + -6w = 0 Move all terms containing f to the left, all other terms to the right. Add '6w' to each side of the equation. f + -6w + 6w = 0 + 6w Combine like terms: -6w + 6w = 0 f + 0 = 0 + 6w f = 0 + 6w Remove the zero: f = 6w Simplifying f = 6w

Solution

f = {6w, 6w}

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