30x+x^2-60x+900=79x

Solution for 30x+x^2-60x+900=79x equation:

Simplifying
30x + x2 + -60x + 900 = 79x

Reorder the terms:
900 + 30x + -60x + x2 = 79x

Combine like terms: 30x + -60x = -30x
900 + -30x + x2 = 79x

Solving
900 + -30x + x2 = 79x

Solving for variable 'x'.

Reorder the terms:
900 + -30x + -79x + x2 = 79x + -79x

Combine like terms: -30x + -79x = -109x
900 + -109x + x2 = 79x + -79x

Combine like terms: 79x + -79x = 0
900 + -109x + x2 = 0

Factor a trinomial.
(9 + -1x)(100 + -1x) = 0

Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Subproblem 2
Set the factor '(100 + -1x)' equal to zero and attempt to solve:

Simplifying
100 + -1x = 0

Solving
100 + -1x = 0

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

Add '-100' to each side of the equation.
100 + -100 + -1x = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -1x = 0 + -100
-1x = 0 + -100

Combine like terms: 0 + -100 = -100
-1x = -100

Divide each side by '-1'.
x = 100

Simplifying
x = 100
Solution
x = {9, 100}