20x+60=x^2-8x

Solution for 20x+60=x^2-8x equation:

Simplifying
20x + 60 = x2 + -8x

Reorder the terms:
60 + 20x = x2 + -8x

Reorder the terms:
60 + 20x = -8x + x2

Solving
60 + 20x = -8x + x2

Solving for variable 'x'.

Combine like terms: 20x + 8x = 28x
60 + 28x + -1x2 = -8x + x2 + 8x + -1x2

Reorder the terms:
60 + 28x + -1x2 = -8x + 8x + x2 + -1x2

Combine like terms: -8x + 8x = 0
60 + 28x + -1x2 = 0 + x2 + -1x2
60 + 28x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
60 + 28x + -1x2 = 0

Factor a trinomial.
(30 + -1x)(2 + x) = 0

Subproblem 1
Set the factor '(30 + -1x)' equal to zero and attempt to solve:

Simplifying
30 + -1x = 0

Solving
30 + -1x = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = 0 + -30
-1x = 0 + -30

Combine like terms: 0 + -30 = -30
-1x = -30

Divide each side by '-1'.
x = 30

Simplifying
x = 30
Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

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

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

Simplifying
x = -2
Solution
x = {30, -2}