640-20x-32x+x^2=540

Solution for 640-20x-32x+x^2=540 equation:

Simplifying
640 + -20x + -32x + x2 = 540

Combine like terms: -20x + -32x = -52x
640 + -52x + x2 = 540

Solving
640 + -52x + x2 = 540

Solving for variable 'x'.

Reorder the terms:
640 + -540 + -52x + x2 = 540 + -540

Combine like terms: 640 + -540 = 100
100 + -52x + x2 = 540 + -540

Combine like terms: 540 + -540 = 0
100 + -52x + x2 = 0

Factor a trinomial.
(2 + -1x)(50 + -1x) = 0

Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Subproblem 2
Set the factor '(50 + -1x)' equal to zero and attempt to solve:

Simplifying
50 + -1x = 0

Solving
50 + -1x = 0

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

Add '-50' to each side of the equation.
50 + -50 + -1x = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -1x = 0 + -50
-1x = 0 + -50

Combine like terms: 0 + -50 = -50
-1x = -50

Divide each side by '-1'.
x = 50

Simplifying
x = 50
Solution
x = {2, 50}