50=(x-3)(x+2)

Solution for 50=(x-3)(x+2) equation:

Simplifying
50 = (x + -3)(x + 2)

Reorder the terms:
50 = (-3 + x)(x + 2)

Reorder the terms:
50 = (-3 + x)(2 + x)

Multiply (-3 + x) * (2 + x)
50 = (-3(2 + x) + x(2 + x))
50 = ((2 * -3 + x * -3) + x(2 + x))
50 = ((-6 + -3x) + x(2 + x))
50 = (-6 + -3x + (2 * x + x * x))
50 = (-6 + -3x + (2x + x2))

Combine like terms: -3x + 2x = -1x
50 = (-6 + -1x + x2)

Solving
50 = -6 + -1x + x2

Solving for variable 'x'.

Combine like terms: 50 + 6 = 56
56 + x + -1x2 = -6 + -1x + x2 + 6 + x + -1x2

Reorder the terms:
56 + x + -1x2 = -6 + 6 + -1x + x + x2 + -1x2

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

Combine like terms: -1x + x = 0
56 + x + -1x2 = 0 + x2 + -1x2
56 + x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
56 + x + -1x2 = 0

Factor a trinomial.
(8 + -1x)(7 + x) = 0

Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

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

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

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Solution
x = {8, -7}