5t^2+10t=-33

Solution for 5t^2+10t=-33 equation:

Simplifying
5t2 + 10t = -33

Reorder the terms:
10t + 5t2 = -33

Solving
10t + 5t2 = -33

Solving for variable 't'.

Reorder the terms:
33 + 10t + 5t2 = -33 + 33

Combine like terms: -33 + 33 = 0
33 + 10t + 5t2 = 0

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

Divide each side by '5'.
6.6 + 2t + t2 = 0

Move the constant term to the right:

Add '-6.6' to each side of the equation.
6.6 + 2t + -6.6 + t2 = 0 + -6.6

Reorder the terms:
6.6 + -6.6 + 2t + t2 = 0 + -6.6

Combine like terms: 6.6 + -6.6 = 0.0
0.0 + 2t + t2 = 0 + -6.6
2t + t2 = 0 + -6.6

Combine like terms: 0 + -6.6 = -6.6
2t + t2 = -6.6

The t term is 2t.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2t + 1 + t2 = -6.6 + 1

Reorder the terms:
1 + 2t + t2 = -6.6 + 1

Combine like terms: -6.6 + 1 = -5.6
1 + 2t + t2 = -5.6

Factor a perfect square on the left side:
(t + 1)(t + 1) = -5.6

Can't calculate square root of the right side.

The solution to this equation could not be determined.