t^2+7t-35=2t-11

Solution for t^2+7t-35=2t-11 equation:

Simplifying
t2 + 7t + -35 = 2t + -11

Reorder the terms:
-35 + 7t + t2 = 2t + -11

Reorder the terms:
-35 + 7t + t2 = -11 + 2t

Solving
-35 + 7t + t2 = -11 + 2t

Solving for variable 't'.

Reorder the terms:
-35 + 11 + 7t + -2t + t2 = -11 + 2t + 11 + -2t

Combine like terms: -35 + 11 = -24
-24 + 7t + -2t + t2 = -11 + 2t + 11 + -2t

Combine like terms: 7t + -2t = 5t
-24 + 5t + t2 = -11 + 2t + 11 + -2t

Reorder the terms:
-24 + 5t + t2 = -11 + 11 + 2t + -2t

Combine like terms: -11 + 11 = 0
-24 + 5t + t2 = 0 + 2t + -2t
-24 + 5t + t2 = 2t + -2t

Combine like terms: 2t + -2t = 0
-24 + 5t + t2 = 0

Factor a trinomial.
(-8 + -1t)(3 + -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 '(3 + -1t)' equal to zero and attempt to solve:

Simplifying
3 + -1t = 0

Solving
3 + -1t = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1t = 0 + -3
-1t = 0 + -3

Combine like terms: 0 + -3 = -3
-1t = -3

Divide each side by '-1'.
t = 3

Simplifying
t = 3
Solution
t = {-8, 3}