25t^2-16t+9=2

Solution for 25t^2-16t+9=2 equation:

Simplifying
25t2 + -16t + 9 = 2

Reorder the terms:
9 + -16t + 25t2 = 2

Solving
9 + -16t + 25t2 = 2

Solving for variable 't'.

Reorder the terms:
9 + -2 + -16t + 25t2 = 2 + -2

Combine like terms: 9 + -2 = 7
7 + -16t + 25t2 = 2 + -2

Combine like terms: 2 + -2 = 0
7 + -16t + 25t2 = 0

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

Divide each side by '25'.
0.28 + -0.64t + t2 = 0

Move the constant term to the right:

Add '-0.28' to each side of the equation.
0.28 + -0.64t + -0.28 + t2 = 0 + -0.28

Reorder the terms:
0.28 + -0.28 + -0.64t + t2 = 0 + -0.28

Combine like terms: 0.28 + -0.28 = 0.00
0.00 + -0.64t + t2 = 0 + -0.28
-0.64t + t2 = 0 + -0.28

Combine like terms: 0 + -0.28 = -0.28
-0.64t + t2 = -0.28

The t term is -0.64t.  Take half its coefficient (-0.32).
Square it (0.1024) and add it to both sides.

Add '0.1024' to each side of the equation.
-0.64t + 0.1024 + t2 = -0.28 + 0.1024

Reorder the terms:
0.1024 + -0.64t + t2 = -0.28 + 0.1024

Combine like terms: -0.28 + 0.1024 = -0.1776
0.1024 + -0.64t + t2 = -0.1776

Factor a perfect square on the left side:
(t + -0.32)(t + -0.32) = -0.1776

Can't calculate square root of the right side.

The solution to this equation could not be determined.