0=-4t^2+t-10

Solution for 0=-4t^2+t-10 equation:

Simplifying
0 = -4t2 + t + -10

Reorder the terms:
0 = -10 + t + -4t2

Solving
0 = -10 + t + -4t2

Solving for variable 't'.

Combine like terms: 0 + 10 = 10
10 + -1t + 4t2 = -10 + t + -4t2 + 10 + -1t + 4t2

Reorder the terms:
10 + -1t + 4t2 = -10 + 10 + t + -1t + -4t2 + 4t2

Combine like terms: -10 + 10 = 0
10 + -1t + 4t2 = 0 + t + -1t + -4t2 + 4t2
10 + -1t + 4t2 = t + -1t + -4t2 + 4t2

Combine like terms: t + -1t = 0
10 + -1t + 4t2 = 0 + -4t2 + 4t2
10 + -1t + 4t2 = -4t2 + 4t2

Combine like terms: -4t2 + 4t2 = 0
10 + -1t + 4t2 = 0

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

Divide each side by '4'.
2.5 + -0.25t + t2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -0.25t + -2.5 + t2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -0.25t + t2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -0.25t + t2 = 0 + -2.5
-0.25t + t2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-0.25t + t2 = -2.5

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 = -2.5 + 0.015625

Reorder the terms:
0.015625 + -0.25t + t2 = -2.5 + 0.015625

Combine like terms: -2.5 + 0.015625 = -2.484375
0.015625 + -0.25t + t2 = -2.484375

Factor a perfect square on the left side:
(t + -0.125)(t + -0.125) = -2.484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.