4.9t^2+10t=-33

Solution for 4.9t^2+10t=-33 equation:

Simplifying
4.9t2 + 10t = -33

Reorder the terms:
10t + 4.9t2 = -33

Solving
10t + 4.9t2 = -33

Solving for variable 't'.

Reorder the terms:
33 + 10t + 4.9t2 = -33 + 33

Combine like terms: -33 + 33 = 0
33 + 10t + 4.9t2 = 0

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

Divide each side by '4.9'.
6.734693878 + 2.040816327t + t2 = 0

Move the constant term to the right:

Add '-6.734693878' to each side of the equation.
6.734693878 + 2.040816327t + -6.734693878 + t2 = 0 + -6.734693878

Reorder the terms:
6.734693878 + -6.734693878 + 2.040816327t + t2 = 0 + -6.734693878

Combine like terms: 6.734693878 + -6.734693878 = 0.000000000
0.000000000 + 2.040816327t + t2 = 0 + -6.734693878
2.040816327t + t2 = 0 + -6.734693878

Combine like terms: 0 + -6.734693878 = -6.734693878
2.040816327t + t2 = -6.734693878

The t term is 2.040816327t.  Take half its coefficient (1.020408164).
Square it (1.041232821) and add it to both sides.

Add '1.041232821' to each side of the equation.
2.040816327t + 1.041232821 + t2 = -6.734693878 + 1.041232821

Reorder the terms:
1.041232821 + 2.040816327t + t2 = -6.734693878 + 1.041232821

Combine like terms: -6.734693878 + 1.041232821 = -5.693461057
1.041232821 + 2.040816327t + t2 = -5.693461057

Factor a perfect square on the left side:
(t + 1.020408164)(t + 1.020408164) = -5.693461057

Can't calculate square root of the right side.

The solution to this equation could not be determined.