240=x^2-20x+84

Solution for 240=x^2-20x+84 equation:

Simplifying
240 = x2 + -20x + 84

Reorder the terms:
240 = 84 + -20x + x2

Solving
240 = 84 + -20x + x2

Solving for variable 'x'.

Combine like terms: 240 + -84 = 156
156 + 20x + -1x2 = 84 + -20x + x2 + -84 + 20x + -1x2

Reorder the terms:
156 + 20x + -1x2 = 84 + -84 + -20x + 20x + x2 + -1x2

Combine like terms: 84 + -84 = 0
156 + 20x + -1x2 = 0 + -20x + 20x + x2 + -1x2
156 + 20x + -1x2 = -20x + 20x + x2 + -1x2

Combine like terms: -20x + 20x = 0
156 + 20x + -1x2 = 0 + x2 + -1x2
156 + 20x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
156 + 20x + -1x2 = 0

Factor a trinomial.
(26 + -1x)(6 + x) = 0

Subproblem 1
Set the factor '(26 + -1x)' equal to zero and attempt to solve:

Simplifying
26 + -1x = 0

Solving
26 + -1x = 0

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

Add '-26' to each side of the equation.
26 + -26 + -1x = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -1x = 0 + -26
-1x = 0 + -26

Combine like terms: 0 + -26 = -26
-1x = -26

Divide each side by '-1'.
x = 26

Simplifying
x = 26
Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 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 + x = 0 + -6

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

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

Simplifying
x = -6
Solution
x = {26, -6}