8x(x)=x+504

Solution for 8x(x)=x+504 equation:

Simplifying
8x(x) = x + 504

Multiply x * x
8x2 = x + 504

Reorder the terms:
8x2 = 504 + x

Solving
8x2 = 504 + x

Solving for variable 'x'.

Reorder the terms:
-504 + -1x + 8x2 = 504 + x + -504 + -1x

Reorder the terms:
-504 + -1x + 8x2 = 504 + -504 + x + -1x

Combine like terms: 504 + -504 = 0
-504 + -1x + 8x2 = 0 + x + -1x
-504 + -1x + 8x2 = x + -1x

Combine like terms: x + -1x = 0
-504 + -1x + 8x2 = 0

Factor a trinomial.
(-63 + -8x)(8 + -1x) = 0

Subproblem 1
Set the factor '(-63 + -8x)' equal to zero and attempt to solve:

Simplifying
-63 + -8x = 0

Solving
-63 + -8x = 0

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

Add '63' to each side of the equation.
-63 + 63 + -8x = 0 + 63

Combine like terms: -63 + 63 = 0
0 + -8x = 0 + 63
-8x = 0 + 63

Combine like terms: 0 + 63 = 63
-8x = 63

Divide each side by '-8'.
x = -7.875

Simplifying
x = -7.875
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 = {-7.875, 8}