(t+5)(t+5)=4

Solution for (t+5)(t+5)=4 equation:

Simplifying
(t + 5)(t + 5) = 4

Reorder the terms:
(5 + t)(t + 5) = 4

Reorder the terms:
(5 + t)(5 + t) = 4

Multiply (5 + t) * (5 + t)
(5(5 + t) + t(5 + t)) = 4
((5 * 5 + t * 5) + t(5 + t)) = 4
((25 + 5t) + t(5 + t)) = 4
(25 + 5t + (5 * t + t * t)) = 4
(25 + 5t + (5t + t2)) = 4

Combine like terms: 5t + 5t = 10t
(25 + 10t + t2) = 4

Solving
25 + 10t + t2 = 4

Solving for variable 't'.

Reorder the terms:
25 + -4 + 10t + t2 = 4 + -4

Combine like terms: 25 + -4 = 21
21 + 10t + t2 = 4 + -4

Combine like terms: 4 + -4 = 0
21 + 10t + t2 = 0

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

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

Simplifying
7 + t = 0

Solving
7 + t = 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 + t = 0 + -7

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

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

Simplifying
t = -7
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 = {-7, -3}