(7t^2+5t+2)+(3t^2+t+6)=

Solution for (7t^2+5t+2)+(3t^2+t+6)= equation:

Simplifying
(7t2 + 5t + 2) + (3t2 + t + 6) = 0

Reorder the terms:
(2 + 5t + 7t2) + (3t2 + t + 6) = 0

Remove parenthesis around (2 + 5t + 7t2)
2 + 5t + 7t2 + (3t2 + t + 6) = 0

Reorder the terms:
2 + 5t + 7t2 + (6 + t + 3t2) = 0

Remove parenthesis around (6 + t + 3t2)
2 + 5t + 7t2 + 6 + t + 3t2 = 0

Reorder the terms:
2 + 6 + 5t + t + 7t2 + 3t2 = 0

Combine like terms: 2 + 6 = 8
8 + 5t + t + 7t2 + 3t2 = 0

Combine like terms: 5t + t = 6t
8 + 6t + 7t2 + 3t2 = 0

Combine like terms: 7t2 + 3t2 = 10t2
8 + 6t + 10t2 = 0

Solving
8 + 6t + 10t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 3t + 5t2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(4 + 3t + 5t2)' equal to zero and attempt to solve:

Simplifying
4 + 3t + 5t2 = 0

Solving
4 + 3t + 5t2 = 0

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

Divide each side by '5'.
0.8 + 0.6t + t2 = 0

Move the constant term to the right:

Add '-0.8' to each side of the equation.
0.8 + 0.6t + -0.8 + t2 = 0 + -0.8

Reorder the terms:
0.8 + -0.8 + 0.6t + t2 = 0 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 0.6t + t2 = 0 + -0.8
0.6t + t2 = 0 + -0.8

Combine like terms: 0 + -0.8 = -0.8
0.6t + t2 = -0.8

The t term is 0.6t.  Take half its coefficient (0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
0.6t + 0.09 + t2 = -0.8 + 0.09

Reorder the terms:
0.09 + 0.6t + t2 = -0.8 + 0.09

Combine like terms: -0.8 + 0.09 = -0.71
0.09 + 0.6t + t2 = -0.71

Factor a perfect square on the left side:
(t + 0.3)(t + 0.3) = -0.71

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.