81v^2-180vf+100f^2=

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Solution for 81v^2-180vf+100f^2= equation:


Simplifying
81v2 + -180vf + 100f2 = 0

Reorder the terms:
-180fv + 100f2 + 81v2 = 0

Solving
-180fv + 100f2 + 81v2 = 0

Solving for variable 'f'.

Factor a trinomial.
(10f + -9v)(10f + -9v) = 0

Subproblem 1

Set the factor '(10f + -9v)' equal to zero and attempt to solve: Simplifying 10f + -9v = 0 Solving 10f + -9v = 0 Move all terms containing f to the left, all other terms to the right. Add '9v' to each side of the equation. 10f + -9v + 9v = 0 + 9v Combine like terms: -9v + 9v = 0 10f + 0 = 0 + 9v 10f = 0 + 9v Remove the zero: 10f = 9v Divide each side by '10'. f = 0.9v Simplifying f = 0.9v

Subproblem 2

Set the factor '(10f + -9v)' equal to zero and attempt to solve: Simplifying 10f + -9v = 0 Solving 10f + -9v = 0 Move all terms containing f to the left, all other terms to the right. Add '9v' to each side of the equation. 10f + -9v + 9v = 0 + 9v Combine like terms: -9v + 9v = 0 10f + 0 = 0 + 9v 10f = 0 + 9v Remove the zero: 10f = 9v Divide each side by '10'. f = 0.9v Simplifying f = 0.9v

Solution

f = {0.9v, 0.9v}

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