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

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

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

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

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

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

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

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

Combine like terms: -7 + -6 = -13
-13 + 2t + -2t + 3t2 + t2 = 0

Combine like terms: 2t + -2t = 0
-13 + 0 + 3t2 + t2 = 0
-13 + 3t2 + t2 = 0

Combine like terms: 3t2 + t2 = 4t2
-13 + 4t2 = 0

Solving
-13 + 4t2 = 0

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '13' to each side of the equation.
-13 + 13 + 4t2 = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 4t2 = 0 + 13
4t2 = 0 + 13

Combine like terms: 0 + 13 = 13
4t2 = 13

Divide each side by '4'.
t2 = 3.25

Simplifying
t2 = 3.25

Take the square root of each side:
t = {-1.802775638, 1.802775638}