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

Solution for 120=(x-1)(x+6) equation:

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

Reorder the terms:
120 = (-1 + x)(x + 6)

Reorder the terms:
120 = (-1 + x)(6 + x)

Multiply (-1 + x) * (6 + x)
120 = (-1(6 + x) + x(6 + x))
120 = ((6 * -1 + x * -1) + x(6 + x))
120 = ((-6 + -1x) + x(6 + x))
120 = (-6 + -1x + (6 * x + x * x))
120 = (-6 + -1x + (6x + x2))

Combine like terms: -1x + 6x = 5x
120 = (-6 + 5x + x2)

Solving
120 = -6 + 5x + x2

Solving for variable 'x'.

Combine like terms: 120 + 6 = 126
126 + -5x + -1x2 = -6 + 5x + x2 + 6 + -5x + -1x2

Reorder the terms:
126 + -5x + -1x2 = -6 + 6 + 5x + -5x + x2 + -1x2

Combine like terms: -6 + 6 = 0
126 + -5x + -1x2 = 0 + 5x + -5x + x2 + -1x2
126 + -5x + -1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
126 + -5x + -1x2 = 0 + x2 + -1x2
126 + -5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
126 + -5x + -1x2 = 0

Factor a trinomial.
(9 + -1x)(14 + x) = 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 '(14 + x)' equal to zero and attempt to solve:

Simplifying
14 + x = 0

Solving
14 + x = 0

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

Add '-14' to each side of the equation.
14 + -14 + x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + x = 0 + -14
x = 0 + -14

Combine like terms: 0 + -14 = -14
x = -14

Simplifying
x = -14
Solution
x = {9, -14}