x*x-3x+2=2

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Solution for x*x-3x+2=2 equation:


Simplifying
x * x + -3x + 2 = 2

Multiply x * x
x2 + -3x + 2 = 2

Reorder the terms:
2 + -3x + x2 = 2

Add '-2' to each side of the equation.
2 + -3x + -2 + x2 = 2 + -2

Reorder the terms:
2 + -2 + -3x + x2 = 2 + -2

Combine like terms: 2 + -2 = 0
0 + -3x + x2 = 2 + -2
-3x + x2 = 2 + -2

Combine like terms: 2 + -2 = 0
-3x + x2 = 0

Solving
-3x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3 + 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 '(-3 + x)' equal to zero and attempt to solve:

Simplifying
-3 + x = 0

Solving
-3 + x = 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 + x = 0 + 3

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

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

Simplifying
x = 3
Solution
x = {0, 3}

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