5*t*5*t+8=13t

Solution for 5*t*5*t+8=13t equation:

Simplifying
5t * 5t + 8 = 13t

Reorder the terms for easier multiplication:
5 * 5t * t + 8 = 13t

Multiply 5 * 5
25t * t + 8 = 13t

Multiply t * t
25t2 + 8 = 13t

Reorder the terms:
8 + 25t2 = 13t

Solving
8 + 25t2 = 13t

Solving for variable 't'.

Reorder the terms:
8 + -13t + 25t2 = 13t + -13t

Combine like terms: 13t + -13t = 0
8 + -13t + 25t2 = 0

Begin completing the square.  Divide all terms by
25 the coefficient of the squared term: 

Divide each side by '25'.
0.32 + -0.52t + t2 = 0

Move the constant term to the right:

Add '-0.32' to each side of the equation.
0.32 + -0.52t + -0.32 + t2 = 0 + -0.32

Reorder the terms:
0.32 + -0.32 + -0.52t + t2 = 0 + -0.32

Combine like terms: 0.32 + -0.32 = 0.00
0.00 + -0.52t + t2 = 0 + -0.32
-0.52t + t2 = 0 + -0.32

Combine like terms: 0 + -0.32 = -0.32
-0.52t + t2 = -0.32

The t term is -0.52t.  Take half its coefficient (-0.26).
Square it (0.0676) and add it to both sides.

Add '0.0676' to each side of the equation.
-0.52t + 0.0676 + t2 = -0.32 + 0.0676

Reorder the terms:
0.0676 + -0.52t + t2 = -0.32 + 0.0676

Combine like terms: -0.32 + 0.0676 = -0.2524
0.0676 + -0.52t + t2 = -0.2524

Factor a perfect square on the left side:
(t + -0.26)(t + -0.26) = -0.2524

Can't calculate square root of the right side.

The solution to this equation could not be determined.