0=8t^2+8t+450

Solution for 0=8t^2+8t+450 equation:

Simplifying
0 = 8t2 + 8t + 450

Reorder the terms:
0 = 450 + 8t + 8t2

Solving
0 = 450 + 8t + 8t2

Solving for variable 't'.

Combine like terms: 0 + -450 = -450
-450 + -8t + -8t2 = 450 + 8t + 8t2 + -450 + -8t + -8t2

Reorder the terms:
-450 + -8t + -8t2 = 450 + -450 + 8t + -8t + 8t2 + -8t2

Combine like terms: 450 + -450 = 0
-450 + -8t + -8t2 = 0 + 8t + -8t + 8t2 + -8t2
-450 + -8t + -8t2 = 8t + -8t + 8t2 + -8t2

Combine like terms: 8t + -8t = 0
-450 + -8t + -8t2 = 0 + 8t2 + -8t2
-450 + -8t + -8t2 = 8t2 + -8t2

Combine like terms: 8t2 + -8t2 = 0
-450 + -8t + -8t2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(225 + 4t + 4t2) = 0

Ignore the factor -2.
Subproblem 1
Set the factor '(225 + 4t + 4t2)' equal to zero and attempt to solve:

Simplifying
225 + 4t + 4t2 = 0

Solving
225 + 4t + 4t2 = 0

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

Divide each side by '4'.
56.25 + t + t2 = 0

Move the constant term to the right:

Add '-56.25' to each side of the equation.
56.25 + t + -56.25 + t2 = 0 + -56.25

Reorder the terms:
56.25 + -56.25 + t + t2 = 0 + -56.25

Combine like terms: 56.25 + -56.25 = 0.00
0.00 + t + t2 = 0 + -56.25
t + t2 = 0 + -56.25

Combine like terms: 0 + -56.25 = -56.25
t + t2 = -56.25

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.
 + 0.25 + t2 = -56.25 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + t2 = -56.25 + 0.25

Combine like terms: -56.25 + 0.25 = -56
1.25 + t2 = -56

Factor a perfect square on the left side:
(t + 0.5)(t + 0.5) = -56

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.