0=4t^2-2t+3

Solution for 0=4t^2-2t+3 equation:

Simplifying
0 = 4t2 + -2t + 3

Reorder the terms:
0 = 3 + -2t + 4t2

Solving
0 = 3 + -2t + 4t2

Solving for variable 't'.

Combine like terms: 0 + -3 = -3
-3 + 2t + -4t2 = 3 + -2t + 4t2 + -3 + 2t + -4t2

Reorder the terms:
-3 + 2t + -4t2 = 3 + -3 + -2t + 2t + 4t2 + -4t2

Combine like terms: 3 + -3 = 0
-3 + 2t + -4t2 = 0 + -2t + 2t + 4t2 + -4t2
-3 + 2t + -4t2 = -2t + 2t + 4t2 + -4t2

Combine like terms: -2t + 2t = 0
-3 + 2t + -4t2 = 0 + 4t2 + -4t2
-3 + 2t + -4t2 = 4t2 + -4t2

Combine like terms: 4t2 + -4t2 = 0
-3 + 2t + -4t2 = 0

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

Divide each side by '-4'.
0.75 + -0.5t + t2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -0.5t + -0.75 + t2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -0.5t + t2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -0.5t + t2 = 0 + -0.75
-0.5t + t2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-0.5t + t2 = -0.75

The t term is -0.5t.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5t + 0.0625 + t2 = -0.75 + 0.0625

Reorder the terms:
0.0625 + -0.5t + t2 = -0.75 + 0.0625

Combine like terms: -0.75 + 0.0625 = -0.6875
0.0625 + -0.5t + t2 = -0.6875

Factor a perfect square on the left side:
(t + -0.25)(t + -0.25) = -0.6875

Can't calculate square root of the right side.

The solution to this equation could not be determined.