5t-69=3.7t^2-63

Solution for 5t-69=3.7t^2-63 equation:

Simplifying
5t + -69 = 3.7t2 + -63

Reorder the terms:
-69 + 5t = 3.7t2 + -63

Reorder the terms:
-69 + 5t = -63 + 3.7t2

Solving
-69 + 5t = -63 + 3.7t2

Solving for variable 't'.

Reorder the terms:
-69 + 63 + 5t + -3.7t2 = -63 + 3.7t2 + 63 + -3.7t2

Combine like terms: -69 + 63 = -6
-6 + 5t + -3.7t2 = -63 + 3.7t2 + 63 + -3.7t2

Reorder the terms:
-6 + 5t + -3.7t2 = -63 + 63 + 3.7t2 + -3.7t2

Combine like terms: -63 + 63 = 0
-6 + 5t + -3.7t2 = 0 + 3.7t2 + -3.7t2
-6 + 5t + -3.7t2 = 3.7t2 + -3.7t2

Combine like terms: 3.7t2 + -3.7t2 = 0.0
-6 + 5t + -3.7t2 = 0.0

Begin completing the square.  Divide all terms by
-3.7 the coefficient of the squared term: 

Divide each side by '-3.7'.
1.621621622 + -1.351351351t + t2 = 0

Move the constant term to the right:

Add '-1.621621622' to each side of the equation.
1.621621622 + -1.351351351t + -1.621621622 + t2 = 0 + -1.621621622

Reorder the terms:
1.621621622 + -1.621621622 + -1.351351351t + t2 = 0 + -1.621621622

Combine like terms: 1.621621622 + -1.621621622 = 0.000000000
0.000000000 + -1.351351351t + t2 = 0 + -1.621621622
-1.351351351t + t2 = 0 + -1.621621622

Combine like terms: 0 + -1.621621622 = -1.621621622
-1.351351351t + t2 = -1.621621622

The t term is -1.351351351t.  Take half its coefficient (-0.6756756755).
Square it (0.4565376185) and add it to both sides.

Add '0.4565376185' to each side of the equation.
-1.351351351t + 0.4565376185 + t2 = -1.621621622 + 0.4565376185

Reorder the terms:
0.4565376185 + -1.351351351t + t2 = -1.621621622 + 0.4565376185

Combine like terms: -1.621621622 + 0.4565376185 = -1.1650840035
0.4565376185 + -1.351351351t + t2 = -1.1650840035

Factor a perfect square on the left side:
(t + -0.6756756755)(t + -0.6756756755) = -1.1650840035

Can't calculate square root of the right side.

The solution to this equation could not be determined.