36=(x+30)(x-5)

Solution for 36=(x+30)(x-5) equation:

Simplifying
36 = (x + 30)(x + -5)

Reorder the terms:
36 = (30 + x)(x + -5)

Reorder the terms:
36 = (30 + x)(-5 + x)

Multiply (30 + x) * (-5 + x)
36 = (30(-5 + x) + x(-5 + x))
36 = ((-5 * 30 + x * 30) + x(-5 + x))
36 = ((-150 + 30x) + x(-5 + x))
36 = (-150 + 30x + (-5 * x + x * x))
36 = (-150 + 30x + (-5x + x2))

Combine like terms: 30x + -5x = 25x
36 = (-150 + 25x + x2)

Solving
36 = -150 + 25x + x2

Solving for variable 'x'.

Combine like terms: 36 + 150 = 186
186 + -25x + -1x2 = -150 + 25x + x2 + 150 + -25x + -1x2

Reorder the terms:
186 + -25x + -1x2 = -150 + 150 + 25x + -25x + x2 + -1x2

Combine like terms: -150 + 150 = 0
186 + -25x + -1x2 = 0 + 25x + -25x + x2 + -1x2
186 + -25x + -1x2 = 25x + -25x + x2 + -1x2

Combine like terms: 25x + -25x = 0
186 + -25x + -1x2 = 0 + x2 + -1x2
186 + -25x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
186 + -25x + -1x2 = 0

Factor a trinomial.
(6 + -1x)(31 + x) = 0

Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

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

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

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Subproblem 2
Set the factor '(31 + x)' equal to zero and attempt to solve:

Simplifying
31 + x = 0

Solving
31 + x = 0

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

Add '-31' to each side of the equation.
31 + -31 + x = 0 + -31

Combine like terms: 31 + -31 = 0
0 + x = 0 + -31
x = 0 + -31

Combine like terms: 0 + -31 = -31
x = -31

Simplifying
x = -31
Solution
x = {6, -31}