9x^2-54x+45=45

Solution for 9x^2-54x+45=45 equation:

Simplifying
9x2 + -54x + 45 = 45

Reorder the terms:
45 + -54x + 9x2 = 45

Add '-45' to each side of the equation.
45 + -54x + -45 + 9x2 = 45 + -45

Reorder the terms:
45 + -45 + -54x + 9x2 = 45 + -45

Combine like terms: 45 + -45 = 0
0 + -54x + 9x2 = 45 + -45
-54x + 9x2 = 45 + -45

Combine like terms: 45 + -45 = 0
-54x + 9x2 = 0

Solving
-54x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9x'.
9x(-6 + x) = 0

Ignore the factor 9.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-6 + x)' equal to zero and attempt to solve:

Simplifying
-6 + x = 0

Solving
-6 + x = 0

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

Add '6' to each side of the equation.
-6 + 6 + x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + x = 0 + 6
x = 0 + 6

Combine like terms: 0 + 6 = 6
x = 6

Simplifying
x = 6
Solution
x = {0, 6}