(x+1)*(4(x+1))=

Solution for (x+1)*(4(x+1))= equation:

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

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

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

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

Combine like terms: 4x + 4x = 8x
(4 + 8x + 4x2) = 0

Solving
4 + 8x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(1 + 2x + x2) = 0

Factor a trinomial.
4((1 + x)(1 + x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

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

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

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