5t^2+6=8t

Solution for 5t^2+6=8t equation:

Simplifying
5t2 + 6 = 8t

Reorder the terms:
6 + 5t2 = 8t

Solving
6 + 5t2 = 8t

Solving for variable 't'.

Reorder the terms:
6 + -8t + 5t2 = 8t + -8t

Combine like terms: 8t + -8t = 0
6 + -8t + 5t2 = 0

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

Divide each side by '5'.
1.2 + -1.6t + t2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + -1.6t + -1.2 + t2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + -1.6t + t2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -1.6t + t2 = 0 + -1.2
-1.6t + t2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
-1.6t + t2 = -1.2

The t term is -1.6t.  Take half its coefficient (-0.8).
Square it (0.64) and add it to both sides.

Add '0.64' to each side of the equation.
-1.6t + 0.64 + t2 = -1.2 + 0.64

Reorder the terms:
0.64 + -1.6t + t2 = -1.2 + 0.64

Combine like terms: -1.2 + 0.64 = -0.56
0.64 + -1.6t + t2 = -0.56

Factor a perfect square on the left side:
(t + -0.8)(t + -0.8) = -0.56

Can't calculate square root of the right side.

The solution to this equation could not be determined.