t^2=15-2t

Solution for t^2=15-2t equation:

Simplifying
t2 = 15 + -2t

Solving
t2 = 15 + -2t

Solving for variable 't'.

Reorder the terms:
-15 + 2t + t2 = 15 + -2t + -15 + 2t

Reorder the terms:
-15 + 2t + t2 = 15 + -15 + -2t + 2t

Combine like terms: 15 + -15 = 0
-15 + 2t + t2 = 0 + -2t + 2t
-15 + 2t + t2 = -2t + 2t

Combine like terms: -2t + 2t = 0
-15 + 2t + t2 = 0

Factor a trinomial.
(-5 + -1t)(3 + -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 '(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 = {-5, 3}