t^2=2t+35

Solution for t^2=2t+35 equation:

Simplifying
t2 = 2t + 35

Reorder the terms:
t2 = 35 + 2t

Solving
t2 = 35 + 2t

Solving for variable 't'.

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

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

Combine like terms: 35 + -35 = 0
-35 + -2t + t2 = 0 + 2t + -2t
-35 + -2t + t2 = 2t + -2t

Combine like terms: 2t + -2t = 0
-35 + -2t + t2 = 0

Factor a trinomial.
(-5 + -1t)(7 + -1t) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(7 + -1t)' equal to zero and attempt to solve:

Simplifying
7 + -1t = 0

Solving
7 + -1t = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1t = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1t = 0 + -7
-1t = 0 + -7

Combine like terms: 0 + -7 = -7
-1t = -7

Divide each side by '-1'.
t = 7

Simplifying
t = 7
Solution
t = {-5, 7}