16t^2-18t+296=0

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Solution for 16t^2-18t+296=0 equation: 


Simplifying
16t2 + -18t + 296 = 0

Reorder the terms:
296 + -18t + 16t2 = 0

Solving
296 + -18t + 16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(148 + -9t + 8t2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(148 + -9t + 8t2)' equal to zero and attempt to solve:

Simplifying
148 + -9t + 8t2 = 0

Solving
148 + -9t + 8t2 = 0

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

Divide each side by '8'.
18.5 + -1.125t + t2 = 0

Move the constant term to the right:

Add '-18.5' to each side of the equation.
18.5 + -1.125t + -18.5 + t2 = 0 + -18.5

Reorder the terms:
18.5 + -18.5 + -1.125t + t2 = 0 + -18.5

Combine like terms: 18.5 + -18.5 = 0.0
0.0 + -1.125t + t2 = 0 + -18.5
-1.125t + t2 = 0 + -18.5

Combine like terms: 0 + -18.5 = -18.5
-1.125t + t2 = -18.5

The t term is -1.125t.  Take half its coefficient (-0.5625).
Square it (0.31640625) and add it to both sides.

Add '0.31640625' to each side of the equation.
-1.125t + 0.31640625 + t2 = -18.5 + 0.31640625

Reorder the terms:
0.31640625 + -1.125t + t2 = -18.5 + 0.31640625

Combine like terms: -18.5 + 0.31640625 = -18.18359375
0.31640625 + -1.125t + t2 = -18.18359375

Factor a perfect square on the left side:
(t + -0.5625)(t + -0.5625) = -18.18359375

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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