x^2+999=2x[x+5]

Solution for x^2+999=2x[x+5] equation:

Simplifying
x2 + 999 = 2x[x + 5]

Reorder the terms:
999 + x2 = 2x[x + 5]

Reorder the terms:
999 + x2 = 2x[5 + x]
999 + x2 = [5 * 2x + x * 2x]
999 + x2 = [10x + 2x2]

Solving
999 + x2 = 10x + 2x2

Solving for variable 'x'.

Reorder the terms:
999 + -10x + x2 + -2x2 = 10x + 2x2 + -10x + -2x2

Combine like terms: x2 + -2x2 = -1x2
999 + -10x + -1x2 = 10x + 2x2 + -10x + -2x2

Reorder the terms:
999 + -10x + -1x2 = 10x + -10x + 2x2 + -2x2

Combine like terms: 10x + -10x = 0
999 + -10x + -1x2 = 0 + 2x2 + -2x2
999 + -10x + -1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
999 + -10x + -1x2 = 0

Factor a trinomial.
(27 + -1x)(37 + x) = 0

Subproblem 1
Set the factor '(27 + -1x)' equal to zero and attempt to solve:

Simplifying
27 + -1x = 0

Solving
27 + -1x = 0

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

Add '-27' to each side of the equation.
27 + -27 + -1x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -1x = 0 + -27
-1x = 0 + -27

Combine like terms: 0 + -27 = -27
-1x = -27

Divide each side by '-1'.
x = 27

Simplifying
x = 27
Subproblem 2
Set the factor '(37 + x)' equal to zero and attempt to solve:

Simplifying
37 + x = 0

Solving
37 + x = 0

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

Add '-37' to each side of the equation.
37 + -37 + x = 0 + -37

Combine like terms: 37 + -37 = 0
0 + x = 0 + -37
x = 0 + -37

Combine like terms: 0 + -37 = -37
x = -37

Simplifying
x = -37
Solution
x = {27, -37}