6t^2-2t+2=4t^2+t

Solution for 6t^2-2t+2=4t^2+t equation:

Simplifying
6t2 + -2t + 2 = 4t2 + t

Reorder the terms:
2 + -2t + 6t2 = 4t2 + t

Reorder the terms:
2 + -2t + 6t2 = t + 4t2

Solving
2 + -2t + 6t2 = t + 4t2

Solving for variable 't'.

Reorder the terms:
2 + -2t + -1t + 6t2 + -4t2 = t + 4t2 + -1t + -4t2

Combine like terms: -2t + -1t = -3t
2 + -3t + 6t2 + -4t2 = t + 4t2 + -1t + -4t2

Combine like terms: 6t2 + -4t2 = 2t2
2 + -3t + 2t2 = t + 4t2 + -1t + -4t2

Reorder the terms:
2 + -3t + 2t2 = t + -1t + 4t2 + -4t2

Combine like terms: t + -1t = 0
2 + -3t + 2t2 = 0 + 4t2 + -4t2
2 + -3t + 2t2 = 4t2 + -4t2

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

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

Divide each side by '2'.
1 + -1.5t + t2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.5t + -1 + t2 = 0 + -1

Reorder the terms:
1 + -1 + -1.5t + t2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.5t + t2 = 0 + -1
-1.5t + t2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.5t + t2 = -1

The t term is -1.5t.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5t + 0.5625 + t2 = -1 + 0.5625

Reorder the terms:
0.5625 + -1.5t + t2 = -1 + 0.5625

Combine like terms: -1 + 0.5625 = -0.4375
0.5625 + -1.5t + t2 = -0.4375

Factor a perfect square on the left side:
(t + -0.75)(t + -0.75) = -0.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.