-1=(x+2)(x+4)

Solution for -1=(x+2)(x+4) equation:

Simplifying
-1 = (x + 2)(x + 4)

Reorder the terms:
-1 = (2 + x)(x + 4)

Reorder the terms:
-1 = (2 + x)(4 + x)

Multiply (2 + x) * (4 + x)
-1 = (2(4 + x) + x(4 + x))
-1 = ((4 * 2 + x * 2) + x(4 + x))
-1 = ((8 + 2x) + x(4 + x))
-1 = (8 + 2x + (4 * x + x * x))
-1 = (8 + 2x + (4x + x2))

Combine like terms: 2x + 4x = 6x
-1 = (8 + 6x + x2)

Solving
-1 = 8 + 6x + x2

Solving for variable 'x'.

Combine like terms: -1 + -8 = -9
-9 + -6x + -1x2 = 8 + 6x + x2 + -8 + -6x + -1x2

Reorder the terms:
-9 + -6x + -1x2 = 8 + -8 + 6x + -6x + x2 + -1x2

Combine like terms: 8 + -8 = 0
-9 + -6x + -1x2 = 0 + 6x + -6x + x2 + -1x2
-9 + -6x + -1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
-9 + -6x + -1x2 = 0 + x2 + -1x2
-9 + -6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 + -6x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(9 + 6x + x2) = 0

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

Ignore the factor -1.
Subproblem 1
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
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 = {-3, -3}