x*x=30x+99

Solution for x*x=30x+99 equation:

Simplifying
x * x = 30x + 99

Multiply x * x
x2 = 30x + 99

Reorder the terms:
x2 = 99 + 30x

Solving
x2 = 99 + 30x

Solving for variable 'x'.

Reorder the terms:
-99 + -30x + x2 = 99 + 30x + -99 + -30x

Reorder the terms:
-99 + -30x + x2 = 99 + -99 + 30x + -30x

Combine like terms: 99 + -99 = 0
-99 + -30x + x2 = 0 + 30x + -30x
-99 + -30x + x2 = 30x + -30x

Combine like terms: 30x + -30x = 0
-99 + -30x + x2 = 0

Factor a trinomial.
(-3 + -1x)(33 + -1x) = 0

Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3
Subproblem 2
Set the factor '(33 + -1x)' equal to zero and attempt to solve:

Simplifying
33 + -1x = 0

Solving
33 + -1x = 0

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

Add '-33' to each side of the equation.
33 + -33 + -1x = 0 + -33

Combine like terms: 33 + -33 = 0
0 + -1x = 0 + -33
-1x = 0 + -33

Combine like terms: 0 + -33 = -33
-1x = -33

Divide each side by '-1'.
x = 33

Simplifying
x = 33
Solution
x = {-3, 33}