2(x+10)=x^2+20

Solution for 2(x+10)=x^2+20 equation:

Simplifying
2(x + 10) = x2 + 20

Reorder the terms:
2(10 + x) = x2 + 20
(10 * 2 + x * 2) = x2 + 20
(20 + 2x) = x2 + 20

Reorder the terms:
20 + 2x = 20 + x2

Add '-20' to each side of the equation.
20 + -20 + 2x = 20 + -20 + x2

Combine like terms: 20 + -20 = 0
0 + 2x = 20 + -20 + x2
2x = 20 + -20 + x2

Combine like terms: 20 + -20 = 0
2x = 0 + x2
2x = x2

Solving
2x = x2

Solving for variable 'x'.

Combine like terms: x2 + -1x2 = 0
2x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(2 + -1x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
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
Solution
x = {0, 2}