0=(x+1)(x+1)-4

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Solution for 0=(x+1)(x+1)-4 equation: 


Simplifying
0 = (x + 1)(x + 1) + -4

Reorder the terms:
0 = (1 + x)(x + 1) + -4

Reorder the terms:
0 = (1 + x)(1 + x) + -4

Multiply (1 + x) * (1 + x)
0 = (1(1 + x) + x(1 + x)) + -4
0 = ((1 * 1 + x * 1) + x(1 + x)) + -4
0 = ((1 + 1x) + x(1 + x)) + -4
0 = (1 + 1x + (1 * x + x * x)) + -4
0 = (1 + 1x + (1x + x2)) + -4

Combine like terms: 1x + 1x = 2x
0 = (1 + 2x + x2) + -4

Reorder the terms:
0 = 1 + -4 + 2x + x2

Combine like terms: 1 + -4 = -3
0 = -3 + 2x + x2

Solving
0 = -3 + 2x + x2

Solving for variable 'x'.

Combine like terms: 0 + 3 = 3
3 + -2x + -1x2 = -3 + 2x + x2 + 3 + -2x + -1x2

Reorder the terms:
3 + -2x + -1x2 = -3 + 3 + 2x + -2x + x2 + -1x2

Combine like terms: -3 + 3 = 0
3 + -2x + -1x2 = 0 + 2x + -2x + x2 + -1x2
3 + -2x + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
3 + -2x + -1x2 = 0 + x2 + -1x2
3 + -2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3 + -2x + -1x2 = 0

Factor a trinomial.
(1 + -1x)(3 + x) = 0


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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

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

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

Simplifying
x = -3
Solution
x = {1, -3}

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