t^2+3t-4=36

Solution for t^2+3t-4=36 equation:

Simplifying
t2 + 3t + -4 = 36

Reorder the terms:
-4 + 3t + t2 = 36

Solving
-4 + 3t + t2 = 36

Solving for variable 't'.

Reorder the terms:
-4 + -36 + 3t + t2 = 36 + -36

Combine like terms: -4 + -36 = -40
-40 + 3t + t2 = 36 + -36

Combine like terms: 36 + -36 = 0
-40 + 3t + t2 = 0

Factor a trinomial.
(-8 + -1t)(5 + -1t) = 0

Subproblem 1
Set the factor '(-8 + -1t)' equal to zero and attempt to solve:

Simplifying
-8 + -1t = 0

Solving
-8 + -1t = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1t = 0 + 8

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

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

Divide each side by '-1'.
t = -8

Simplifying
t = -8
Subproblem 2
Set the factor '(5 + -1t)' equal to zero and attempt to solve:

Simplifying
5 + -1t = 0

Solving
5 + -1t = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1t = 0 + -5
-1t = 0 + -5

Combine like terms: 0 + -5 = -5
-1t = -5

Divide each side by '-1'.
t = 5

Simplifying
t = 5
Solution
t = {-8, 5}