13t^2-8t+5=3

Solution for 13t^2-8t+5=3 equation:

Simplifying
13t2 + -8t + 5 = 3

Reorder the terms:
5 + -8t + 13t2 = 3

Solving
5 + -8t + 13t2 = 3

Solving for variable 't'.

Reorder the terms:
5 + -3 + -8t + 13t2 = 3 + -3

Combine like terms: 5 + -3 = 2
2 + -8t + 13t2 = 3 + -3

Combine like terms: 3 + -3 = 0
2 + -8t + 13t2 = 0

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

Divide each side by '13'.
0.1538461538 + -0.6153846154t + t2 = 0

Move the constant term to the right:

Add '-0.1538461538' to each side of the equation.
0.1538461538 + -0.6153846154t + -0.1538461538 + t2 = 0 + -0.1538461538

Reorder the terms:
0.1538461538 + -0.1538461538 + -0.6153846154t + t2 = 0 + -0.1538461538

Combine like terms: 0.1538461538 + -0.1538461538 = 0.0000000000
0.0000000000 + -0.6153846154t + t2 = 0 + -0.1538461538
-0.6153846154t + t2 = 0 + -0.1538461538

Combine like terms: 0 + -0.1538461538 = -0.1538461538
-0.6153846154t + t2 = -0.1538461538

The t term is -0.6153846154t.  Take half its coefficient (-0.3076923077).
Square it (0.09467455622) and add it to both sides.

Add '0.09467455622' to each side of the equation.
-0.6153846154t + 0.09467455622 + t2 = -0.1538461538 + 0.09467455622

Reorder the terms:
0.09467455622 + -0.6153846154t + t2 = -0.1538461538 + 0.09467455622

Combine like terms: -0.1538461538 + 0.09467455622 = -0.05917159758
0.09467455622 + -0.6153846154t + t2 = -0.05917159758

Factor a perfect square on the left side:
(t + -0.3076923077)(t + -0.3076923077) = -0.05917159758

Can't calculate square root of the right side.

The solution to this equation could not be determined.