(x+2)(x+5)=28

Solution for (x+2)(x+5)=28 equation:

Simplifying
(x + 2)(x + 5) = 28

Reorder the terms:
(2 + x)(x + 5) = 28

Reorder the terms:
(2 + x)(5 + x) = 28

Multiply (2 + x) * (5 + x)
(2(5 + x) + x(5 + x)) = 28
((5 * 2 + x * 2) + x(5 + x)) = 28
((10 + 2x) + x(5 + x)) = 28
(10 + 2x + (5 * x + x * x)) = 28
(10 + 2x + (5x + x2)) = 28

Combine like terms: 2x + 5x = 7x
(10 + 7x + x2) = 28

Solving
10 + 7x + x2 = 28

Solving for variable 'x'.

Reorder the terms:
10 + -28 + 7x + x2 = 28 + -28

Combine like terms: 10 + -28 = -18
-18 + 7x + x2 = 28 + -28

Combine like terms: 28 + -28 = 0
-18 + 7x + x2 = 0

Factor a trinomial.
(-9 + -1x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-9, 2}