16t^2+90t+252=0

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Solution for 16t^2+90t+252=0 equation: 


Simplifying
16t2 + 90t + 252 = 0

Reorder the terms:
252 + 90t + 16t2 = 0

Solving
252 + 90t + 16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(126 + 45t + 8t2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(126 + 45t + 8t2)' equal to zero and attempt to solve:

Simplifying
126 + 45t + 8t2 = 0

Solving
126 + 45t + 8t2 = 0

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

Divide each side by '8'.
15.75 + 5.625t + t2 = 0

Move the constant term to the right:

Add '-15.75' to each side of the equation.
15.75 + 5.625t + -15.75 + t2 = 0 + -15.75

Reorder the terms:
15.75 + -15.75 + 5.625t + t2 = 0 + -15.75

Combine like terms: 15.75 + -15.75 = 0.00
0.00 + 5.625t + t2 = 0 + -15.75
5.625t + t2 = 0 + -15.75

Combine like terms: 0 + -15.75 = -15.75
5.625t + t2 = -15.75

The t term is 5.625t.  Take half its coefficient (2.8125).
Square it (7.91015625) and add it to both sides.

Add '7.91015625' to each side of the equation.
5.625t + 7.91015625 + t2 = -15.75 + 7.91015625

Reorder the terms:
7.91015625 + 5.625t + t2 = -15.75 + 7.91015625

Combine like terms: -15.75 + 7.91015625 = -7.83984375
7.91015625 + 5.625t + t2 = -7.83984375

Factor a perfect square on the left side:
(t + 2.8125)(t + 2.8125) = -7.83984375

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.

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