25t^2-90tg+81g^2=0

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Solution for 25t^2-90tg+81g^2=0 equation:


Simplifying
25t2 + -90tg + 81g2 = 0

Reorder the terms:
-90gt + 81g2 + 25t2 = 0

Solving
-90gt + 81g2 + 25t2 = 0

Solving for variable 'g'.

Factor a trinomial.
(9g + -5t)(9g + -5t) = 0

Subproblem 1

Set the factor '(9g + -5t)' equal to zero and attempt to solve: Simplifying 9g + -5t = 0 Solving 9g + -5t = 0 Move all terms containing g to the left, all other terms to the right. Add '5t' to each side of the equation. 9g + -5t + 5t = 0 + 5t Combine like terms: -5t + 5t = 0 9g + 0 = 0 + 5t 9g = 0 + 5t Remove the zero: 9g = 5t Divide each side by '9'. g = 0.5555555556t Simplifying g = 0.5555555556t

Subproblem 2

Set the factor '(9g + -5t)' equal to zero and attempt to solve: Simplifying 9g + -5t = 0 Solving 9g + -5t = 0 Move all terms containing g to the left, all other terms to the right. Add '5t' to each side of the equation. 9g + -5t + 5t = 0 + 5t Combine like terms: -5t + 5t = 0 9g + 0 = 0 + 5t 9g = 0 + 5t Remove the zero: 9g = 5t Divide each side by '9'. g = 0.5555555556t Simplifying g = 0.5555555556t

Solution

g = {0.5555555556t, 0.5555555556t}

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