x^2-9x+2=2

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


Simplifying
x2 + -9x + 2 = 2

Reorder the terms:
2 + -9x + x2 = 2

Add '-2' to each side of the equation.
2 + -9x + -2 + x2 = 2 + -2

Reorder the terms:
2 + -2 + -9x + x2 = 2 + -2

Combine like terms: 2 + -2 = 0
0 + -9x + x2 = 2 + -2
-9x + x2 = 2 + -2

Combine like terms: 2 + -2 = 0
-9x + x2 = 0

Solving
-9x + x2 = 0

Solving for variable 'x'.

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


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 '(-9 + x)' equal to zero and attempt to solve:

Simplifying
-9 + x = 0

Solving
-9 + x = 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 + x = 0 + 9

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

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

Simplifying
x = 9
Solution
x = {0, 9}

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