(-5t^2+2t-4)+(5t^2+t)=

Solution for (-5t^2+2t-4)+(5t^2+t)= equation:

Simplifying
(-5t2 + 2t + -4) + (5t2 + t) = 0

Reorder the terms:
(-4 + 2t + -5t2) + (5t2 + t) = 0

Remove parenthesis around (-4 + 2t + -5t2)
-4 + 2t + -5t2 + (5t2 + t) = 0

Reorder the terms:
-4 + 2t + -5t2 + (t + 5t2) = 0

Remove parenthesis around (t + 5t2)
-4 + 2t + -5t2 + t + 5t2 = 0

Reorder the terms:
-4 + 2t + t + -5t2 + 5t2 = 0

Combine like terms: 2t + t = 3t
-4 + 3t + -5t2 + 5t2 = 0

Combine like terms: -5t2 + 5t2 = 0
-4 + 3t + 0 = 0
-4 + 3t = 0

Solving
-4 + 3t = 0

Solving for variable 't'.

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

Add '4' to each side of the equation.
-4 + 4 + 3t = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 3t = 0 + 4
3t = 0 + 4

Combine like terms: 0 + 4 = 4
3t = 4

Divide each side by '3'.
t = 1.333333333

Simplifying
t = 1.333333333