(x+3)*(x+3)=100

Solution for (x+3)*(x+3)=100 equation:

Simplifying
(x + 3)(x + 3) = 100

Reorder the terms:
(3 + x)(x + 3) = 100

Reorder the terms:
(3 + x)(3 + x) = 100

Multiply (3 + x) * (3 + x)
(3(3 + x) + x(3 + x)) = 100
((3 * 3 + x * 3) + x(3 + x)) = 100
((9 + 3x) + x(3 + x)) = 100
(9 + 3x + (3 * x + x * x)) = 100
(9 + 3x + (3x + x2)) = 100

Combine like terms: 3x + 3x = 6x
(9 + 6x + x2) = 100

Solving
9 + 6x + x2 = 100

Solving for variable 'x'.

Reorder the terms:
9 + -100 + 6x + x2 = 100 + -100

Combine like terms: 9 + -100 = -91
-91 + 6x + x2 = 100 + -100

Combine like terms: 100 + -100 = 0
-91 + 6x + x2 = 0

Factor a trinomial.
(-13 + -1x)(7 + -1x) = 0

Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve:

Simplifying
-13 + -1x = 0

Solving
-13 + -1x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = 0 + 13
-1x = 0 + 13

Combine like terms: 0 + 13 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13
Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

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

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

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-13, 7}