t(-4t+1)=1

Solution for t(-4t+1)=1 equation:

Simplifying
t(-4t + 1) = 1

Reorder the terms:
t(1 + -4t) = 1
(1 * t + -4t * t) = 1
(1t + -4t2) = 1

Solving
1t + -4t2 = 1

Solving for variable 't'.

Reorder the terms:
-1 + 1t + -4t2 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 1t + -4t2 = 0

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

Divide each side by '-4'.
0.25 + -0.25t + t2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + -0.25t + -0.25 + t2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + -0.25t + t2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -0.25t + t2 = 0 + -0.25
-0.25t + t2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
-0.25t + t2 = -0.25

The t term is -0.25t.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25t + 0.015625 + t2 = -0.25 + 0.015625

Reorder the terms:
0.015625 + -0.25t + t2 = -0.25 + 0.015625

Combine like terms: -0.25 + 0.015625 = -0.234375
0.015625 + -0.25t + t2 = -0.234375

Factor a perfect square on the left side:
(t + -0.125)(t + -0.125) = -0.234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.