16t^2+12t+900=0

Solution for 16t^2+12t+900=0 equation:

Simplifying
16t2 + 12t + 900 = 0

Reorder the terms:
900 + 12t + 16t2 = 0

Solving
900 + 12t + 16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '4'.
4(225 + 3t + 4t2) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(225 + 3t + 4t2)' equal to zero and attempt to solve:

Simplifying
225 + 3t + 4t2 = 0

Solving
225 + 3t + 4t2 = 0

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

Divide each side by '4'.
56.25 + 0.75t + t2 = 0

Move the constant term to the right:

Add '-56.25' to each side of the equation.
56.25 + 0.75t + -56.25 + t2 = 0 + -56.25

Reorder the terms:
56.25 + -56.25 + 0.75t + t2 = 0 + -56.25

Combine like terms: 56.25 + -56.25 = 0.00
0.00 + 0.75t + t2 = 0 + -56.25
0.75t + t2 = 0 + -56.25

Combine like terms: 0 + -56.25 = -56.25
0.75t + t2 = -56.25

The t term is 0.75t.  Take half its coefficient (0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
0.75t + 0.140625 + t2 = -56.25 + 0.140625

Reorder the terms:
0.140625 + 0.75t + t2 = -56.25 + 0.140625

Combine like terms: -56.25 + 0.140625 = -56.109375
0.140625 + 0.75t + t2 = -56.109375

Factor a perfect square on the left side:
(t + 0.375)(t + 0.375) = -56.109375

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.