2t^2+t+10=6

Solution for 2t^2+t+10=6 equation:

Simplifying
2t2 + t + 10 = 6

Reorder the terms:
10 + t + 2t2 = 6

Solving
10 + t + 2t2 = 6

Solving for variable 't'.

Reorder the terms:
10 + -6 + t + 2t2 = 6 + -6

Combine like terms: 10 + -6 = 4
4 + t + 2t2 = 6 + -6

Combine like terms: 6 + -6 = 0
4 + t + 2t2 = 0

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

Divide each side by '2'.
2 + 0.5t + t2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 0.5t + -2 + t2 = 0 + -2

Reorder the terms:
2 + -2 + 0.5t + t2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 0.5t + t2 = 0 + -2
0.5t + t2 = 0 + -2

Combine like terms: 0 + -2 = -2
0.5t + t2 = -2

The t term is t.  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.
0.5t + 0.25 + t2 = -2 + 0.25

Reorder the terms:
0.25 + 0.5t + t2 = -2 + 0.25

Combine like terms: -2 + 0.25 = -1.75
0.25 + 0.5t + t2 = -1.75

Factor a perfect square on the left side:
(t + 0.5)(t + 0.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.