(x+2)(x+4)=35

Solution for (x+2)(x+4)=35 equation:

Simplifying
(x + 2)(x + 4) = 35

Reorder the terms:
(2 + x)(x + 4) = 35

Reorder the terms:
(2 + x)(4 + x) = 35

Multiply (2 + x) * (4 + x)
(2(4 + x) + x(4 + x)) = 35
((4 * 2 + x * 2) + x(4 + x)) = 35
((8 + 2x) + x(4 + x)) = 35
(8 + 2x + (4 * x + x * x)) = 35
(8 + 2x + (4x + x2)) = 35

Combine like terms: 2x + 4x = 6x
(8 + 6x + x2) = 35

Solving
8 + 6x + x2 = 35

Solving for variable 'x'.

Reorder the terms:
8 + -35 + 6x + x2 = 35 + -35

Combine like terms: 8 + -35 = -27
-27 + 6x + x2 = 35 + -35

Combine like terms: 35 + -35 = 0
-27 + 6x + x2 = 0

Factor a trinomial.
(-9 + -1x)(3 + -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 '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-9, 3}