6x=x*x+5

Solution for 6x=x*x+5 equation:

Simplifying
6x = x * x + 5

Multiply x * x
6x = x2 + 5

Reorder the terms:
6x = 5 + x2

Solving
6x = 5 + x2

Solving for variable 'x'.

Reorder the terms:
-5 + 6x + -1x2 = 5 + x2 + -5 + -1x2

Reorder the terms:
-5 + 6x + -1x2 = 5 + -5 + x2 + -1x2

Combine like terms: 5 + -5 = 0
-5 + 6x + -1x2 = 0 + x2 + -1x2
-5 + 6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-5 + 6x + -1x2 = 0

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

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

Simplifying
-5 + x = 0

Solving
-5 + x = 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 + x = 0 + 5

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

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

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {5, 1}