-1=(x+3)(x+5)

Solution for -1=(x+3)(x+5) equation:

Simplifying
-1 = (x + 3)(x + 5)

Reorder the terms:
-1 = (3 + x)(x + 5)

Reorder the terms:
-1 = (3 + x)(5 + x)

Multiply (3 + x) * (5 + x)
-1 = (3(5 + x) + x(5 + x))
-1 = ((5 * 3 + x * 3) + x(5 + x))
-1 = ((15 + 3x) + x(5 + x))
-1 = (15 + 3x + (5 * x + x * x))
-1 = (15 + 3x + (5x + x2))

Combine like terms: 3x + 5x = 8x
-1 = (15 + 8x + x2)

Solving
-1 = 15 + 8x + x2

Solving for variable 'x'.

Combine like terms: -1 + -15 = -16
-16 + -8x + -1x2 = 15 + 8x + x2 + -15 + -8x + -1x2

Reorder the terms:
-16 + -8x + -1x2 = 15 + -15 + 8x + -8x + x2 + -1x2

Combine like terms: 15 + -15 = 0
-16 + -8x + -1x2 = 0 + 8x + -8x + x2 + -1x2
-16 + -8x + -1x2 = 8x + -8x + x2 + -1x2

Combine like terms: 8x + -8x = 0
-16 + -8x + -1x2 = 0 + x2 + -1x2
-16 + -8x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-16 + -8x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(16 + 8x + x2) = 0

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

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

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {-4, -4}