(8x+28)(x+1)=0

Solution for (8x+28)(x+1)=0 equation:

Simplifying
(8x + 28)(x + 1) = 0

Reorder the terms:
(28 + 8x)(x + 1) = 0

Reorder the terms:
(28 + 8x)(1 + x) = 0

Multiply (28 + 8x) * (1 + x)
(28(1 + x) + 8x * (1 + x)) = 0
((1 * 28 + x * 28) + 8x * (1 + x)) = 0
((28 + 28x) + 8x * (1 + x)) = 0
(28 + 28x + (1 * 8x + x * 8x)) = 0
(28 + 28x + (8x + 8x2)) = 0

Combine like terms: 28x + 8x = 36x
(28 + 36x + 8x2) = 0

Solving
28 + 36x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(7 + 9x + 2x2) = 0

Factor a trinomial.
4((7 + 2x)(1 + x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(7 + 2x)' equal to zero and attempt to solve:

Simplifying
7 + 2x = 0

Solving
7 + 2x = 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 + 2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 0 + -7
2x = 0 + -7

Combine like terms: 0 + -7 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5
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 = {-3.5, -1}