3t^2+6t+69=3

Solution for 3t^2+6t+69=3 equation:

Simplifying
3t2 + 6t + 69 = 3

Reorder the terms:
69 + 6t + 3t2 = 3

Solving
69 + 6t + 3t2 = 3

Solving for variable 't'.

Reorder the terms:
69 + -3 + 6t + 3t2 = 3 + -3

Combine like terms: 69 + -3 = 66
66 + 6t + 3t2 = 3 + -3

Combine like terms: 3 + -3 = 0
66 + 6t + 3t2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(22 + 2t + t2) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(22 + 2t + t2)' equal to zero and attempt to solve:

Simplifying
22 + 2t + t2 = 0

Solving
22 + 2t + t2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-22' to each side of the equation.
22 + 2t + -22 + t2 = 0 + -22

Reorder the terms:
22 + -22 + 2t + t2 = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 2t + t2 = 0 + -22
2t + t2 = 0 + -22

Combine like terms: 0 + -22 = -22
2t + t2 = -22

The t term is 2t.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2t + 1 + t2 = -22 + 1

Reorder the terms:
1 + 2t + t2 = -22 + 1

Combine like terms: -22 + 1 = -21
1 + 2t + t2 = -21

Factor a perfect square on the left side:
(t + 1)(t + 1) = -21

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.