30=(x-1)(x+6)

Solution for 30=(x-1)(x+6) equation:

Simplifying
30 = (x + -1)(x + 6)

Reorder the terms:
30 = (-1 + x)(x + 6)

Reorder the terms:
30 = (-1 + x)(6 + x)

Multiply (-1 + x) * (6 + x)
30 = (-1(6 + x) + x(6 + x))
30 = ((6 * -1 + x * -1) + x(6 + x))
30 = ((-6 + -1x) + x(6 + x))
30 = (-6 + -1x + (6 * x + x * x))
30 = (-6 + -1x + (6x + x2))

Combine like terms: -1x + 6x = 5x
30 = (-6 + 5x + x2)

Solving
30 = -6 + 5x + x2

Solving for variable 'x'.

Combine like terms: 30 + 6 = 36
36 + -5x + -1x2 = -6 + 5x + x2 + 6 + -5x + -1x2

Reorder the terms:
36 + -5x + -1x2 = -6 + 6 + 5x + -5x + x2 + -1x2

Combine like terms: -6 + 6 = 0
36 + -5x + -1x2 = 0 + 5x + -5x + x2 + -1x2
36 + -5x + -1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
36 + -5x + -1x2 = 0 + x2 + -1x2
36 + -5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
36 + -5x + -1x2 = 0

Factor a trinomial.
(4 + -1x)(9 + x) = 0

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

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Subproblem 2
Set the factor '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 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 + x = 0 + -9

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

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

Simplifying
x = -9
Solution
x = {4, -9}