=t^2+2t-8

Solution for =t^2+2t-8 equation:

Simplifying
0 = t2 + 2t + -8

Reorder the terms:
0 = -8 + 2t + t2

Solving
0 = -8 + 2t + t2

Solving for variable 't'.

Combine like terms: 0 + 8 = 8
8 + -2t + -1t2 = -8 + 2t + t2 + 8 + -2t + -1t2

Reorder the terms:
8 + -2t + -1t2 = -8 + 8 + 2t + -2t + t2 + -1t2

Combine like terms: -8 + 8 = 0
8 + -2t + -1t2 = 0 + 2t + -2t + t2 + -1t2
8 + -2t + -1t2 = 2t + -2t + t2 + -1t2

Combine like terms: 2t + -2t = 0
8 + -2t + -1t2 = 0 + t2 + -1t2
8 + -2t + -1t2 = t2 + -1t2

Combine like terms: t2 + -1t2 = 0
8 + -2t + -1t2 = 0

Factor a trinomial.
(2 + -1t)(4 + t) = 0

Subproblem 1
Set the factor '(2 + -1t)' equal to zero and attempt to solve:

Simplifying
2 + -1t = 0

Solving
2 + -1t = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1t = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1t = 0 + -2
-1t = 0 + -2

Combine like terms: 0 + -2 = -2
-1t = -2

Divide each side by '-1'.
t = 2

Simplifying
t = 2
Subproblem 2
Set the factor '(4 + t)' equal to zero and attempt to solve:

Simplifying
4 + t = 0

Solving
4 + t = 0

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

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

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

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

Simplifying
t = -4
Solution
t = {2, -4}