20v^2-41vt+20t^2=0

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Solution for 20v^2-41vt+20t^2=0 equation:


Simplifying
20v2 + -41vt + 20t2 = 0

Reorder the terms:
-41tv + 20t2 + 20v2 = 0

Solving
-41tv + 20t2 + 20v2 = 0

Solving for variable 't'.

Factor a trinomial.
(4t + -5v)(5t + -4v) = 0

Subproblem 1

Set the factor '(4t + -5v)' equal to zero and attempt to solve: Simplifying 4t + -5v = 0 Solving 4t + -5v = 0 Move all terms containing t to the left, all other terms to the right. Add '5v' to each side of the equation. 4t + -5v + 5v = 0 + 5v Combine like terms: -5v + 5v = 0 4t + 0 = 0 + 5v 4t = 0 + 5v Remove the zero: 4t = 5v Divide each side by '4'. t = 1.25v Simplifying t = 1.25v

Subproblem 2

Set the factor '(5t + -4v)' equal to zero and attempt to solve: Simplifying 5t + -4v = 0 Solving 5t + -4v = 0 Move all terms containing t to the left, all other terms to the right. Add '4v' to each side of the equation. 5t + -4v + 4v = 0 + 4v Combine like terms: -4v + 4v = 0 5t + 0 = 0 + 4v 5t = 0 + 4v Remove the zero: 5t = 4v Divide each side by '5'. t = 0.8v Simplifying t = 0.8v

Solution

t = {1.25v, 0.8v}

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