(x+1)(x+1)-39=10

Solution for (x+1)(x+1)-39=10 equation:

Simplifying
(x + 1)(x + 1) + -39 = 10

Reorder the terms:
(1 + x)(x + 1) + -39 = 10

Reorder the terms:
(1 + x)(1 + x) + -39 = 10

Multiply (1 + x) * (1 + x)
(1(1 + x) + x(1 + x)) + -39 = 10
((1 * 1 + x * 1) + x(1 + x)) + -39 = 10
((1 + 1x) + x(1 + x)) + -39 = 10
(1 + 1x + (1 * x + x * x)) + -39 = 10
(1 + 1x + (1x + x2)) + -39 = 10

Combine like terms: 1x + 1x = 2x
(1 + 2x + x2) + -39 = 10

Reorder the terms:
1 + -39 + 2x + x2 = 10

Combine like terms: 1 + -39 = -38
-38 + 2x + x2 = 10

Solving
-38 + 2x + x2 = 10

Solving for variable 'x'.

Reorder the terms:
-38 + -10 + 2x + x2 = 10 + -10

Combine like terms: -38 + -10 = -48
-48 + 2x + x2 = 10 + -10

Combine like terms: 10 + -10 = 0
-48 + 2x + x2 = 0

Factor a trinomial.
(-8 + -1x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-8, 6}