16t^2-40t+66=0

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Solution for 16t^2-40t+66=0 equation: 


Simplifying
16t2 + -40t + 66 = 0

Reorder the terms:
66 + -40t + 16t2 = 0

Solving
66 + -40t + 16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(33 + -20t + 8t2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(33 + -20t + 8t2)' equal to zero and attempt to solve:

Simplifying
33 + -20t + 8t2 = 0

Solving
33 + -20t + 8t2 = 0

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

Divide each side by '8'.
4.125 + -2.5t + t2 = 0

Move the constant term to the right:

Add '-4.125' to each side of the equation.
4.125 + -2.5t + -4.125 + t2 = 0 + -4.125

Reorder the terms:
4.125 + -4.125 + -2.5t + t2 = 0 + -4.125

Combine like terms: 4.125 + -4.125 = 0.000
0.000 + -2.5t + t2 = 0 + -4.125
-2.5t + t2 = 0 + -4.125

Combine like terms: 0 + -4.125 = -4.125
-2.5t + t2 = -4.125

The t term is -2.5t.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5t + 1.5625 + t2 = -4.125 + 1.5625

Reorder the terms:
1.5625 + -2.5t + t2 = -4.125 + 1.5625

Combine like terms: -4.125 + 1.5625 = -2.5625
1.5625 + -2.5t + t2 = -2.5625

Factor a perfect square on the left side:
(t + -1.25)(t + -1.25) = -2.5625

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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