5t-6=2t^2

Solution for 5t-6=2t^2 equation:

Simplifying
5t + -6 = 2t2

Reorder the terms:
-6 + 5t = 2t2

Solving
-6 + 5t = 2t2

Solving for variable 't'.

Combine like terms: 2t2 + -2t2 = 0
-6 + 5t + -2t2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
3 + -2.5t + t2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -2.5t + -3 + t2 = 0 + -3

Reorder the terms:
3 + -3 + -2.5t + t2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2.5t + t2 = 0 + -3
-2.5t + t2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2.5t + t2 = -3

The t term is -2.5t.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5t + 1.5625 + t2 = -3 + 1.5625

Reorder the terms:
1.5625 + -2.5t + t2 = -3 + 1.5625

Combine like terms: -3 + 1.5625 = -1.4375
1.5625 + -2.5t + t2 = -1.4375

Factor a perfect square on the left side:
(t + -1.25)(t + -1.25) = -1.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.