t^2=35-2t

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

Simplifying
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.
(-7 + -1t)(5 + -1t) = 0

Subproblem 1
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
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 = {-7, 5}