10t^2-3t+1=0

Solution for 10t^2-3t+1=0 equation:

Simplifying
10t2 + -3t + 1 = 0

Reorder the terms:
1 + -3t + 10t2 = 0

Solving
1 + -3t + 10t2 = 0

Solving for variable 't'.

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

Divide each side by '10'.
0.1 + -0.3t + t2 = 0

Move the constant term to the right:

Add '-0.1' to each side of the equation.
0.1 + -0.3t + -0.1 + t2 = 0 + -0.1

Reorder the terms:
0.1 + -0.1 + -0.3t + t2 = 0 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + -0.3t + t2 = 0 + -0.1
-0.3t + t2 = 0 + -0.1

Combine like terms: 0 + -0.1 = -0.1
-0.3t + t2 = -0.1

The t term is -0.3t.  Take half its coefficient (-0.15).
Square it (0.0225) and add it to both sides.

Add '0.0225' to each side of the equation.
-0.3t + 0.0225 + t2 = -0.1 + 0.0225

Reorder the terms:
0.0225 + -0.3t + t2 = -0.1 + 0.0225

Combine like terms: -0.1 + 0.0225 = -0.0775
0.0225 + -0.3t + t2 = -0.0775

Factor a perfect square on the left side:
(t + -0.15)(t + -0.15) = -0.0775

Can't calculate square root of the right side.

The solution to this equation could not be determined.