4t^2-4t+9=0

Solution for 4t^2-4t+9=0 equation:

Simplifying
4t2 + -4t + 9 = 0

Reorder the terms:
9 + -4t + 4t2 = 0

Solving
9 + -4t + 4t2 = 0

Solving for variable 't'.

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

Divide each side by '4'.
2.25 + -1t + t2 = 0

Move the constant term to the right:

Add '-2.25' to each side of the equation.
2.25 + -1t + -2.25 + t2 = 0 + -2.25

Reorder the terms:
2.25 + -2.25 + -1t + t2 = 0 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + -1t + t2 = 0 + -2.25
-1t + t2 = 0 + -2.25

Combine like terms: 0 + -2.25 = -2.25
-1t + t2 = -2.25

The t term is -1t.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1t + 0.25 + t2 = -2.25 + 0.25

Reorder the terms:
0.25 + -1t + t2 = -2.25 + 0.25

Combine like terms: -2.25 + 0.25 = -2
0.25 + -1t + t2 = -2

Factor a perfect square on the left side:
(t + -0.5)(t + -0.5) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.