2(x^2-20)=11x

Solution for 2(x^2-20)=11x equation:

Simplifying
2(x2 + -20) = 11x

Reorder the terms:
2(-20 + x2) = 11x
(-20 * 2 + x2 * 2) = 11x
(-40 + 2x2) = 11x

Solving
-40 + 2x2 = 11x

Solving for variable 'x'.

Reorder the terms:
-40 + -11x + 2x2 = 11x + -11x

Combine like terms: 11x + -11x = 0
-40 + -11x + 2x2 = 0

Factor a trinomial.
(-5 + -2x)(8 + -1x) = 0

Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve:

Simplifying
-5 + -2x = 0

Solving
-5 + -2x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 0 + 5
-2x = 0 + 5

Combine like terms: 0 + 5 = 5
-2x = 5

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5
Subproblem 2
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
Solution
x = {-2.5, 8}