t^2=-12-7t

Solution for t^2=-12-7t equation:

Simplifying
t2 = -12 + -7t

Solving
t2 = -12 + -7t

Solving for variable 't'.

Reorder the terms:
12 + 7t + t2 = -12 + -7t + 12 + 7t

Reorder the terms:
12 + 7t + t2 = -12 + 12 + -7t + 7t

Combine like terms: -12 + 12 = 0
12 + 7t + t2 = 0 + -7t + 7t
12 + 7t + t2 = -7t + 7t

Combine like terms: -7t + 7t = 0
12 + 7t + t2 = 0

Factor a trinomial.
(4 + t)(3 + t) = 0

Subproblem 1
Set the factor '(4 + t)' equal to zero and attempt to solve:

Simplifying
4 + t = 0

Solving
4 + t = 0

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

Add '-4' to each side of the equation.
4 + -4 + t = 0 + -4

Combine like terms: 4 + -4 = 0
0 + t = 0 + -4
t = 0 + -4

Combine like terms: 0 + -4 = -4
t = -4

Simplifying
t = -4
Subproblem 2
Set the factor '(3 + t)' equal to zero and attempt to solve:

Simplifying
3 + t = 0

Solving
3 + t = 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 + t = 0 + -3

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

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

Simplifying
t = -3
Solution
t = {-4, -3}