3X^2-18X+60=X^2-9X+60

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Solution for 3X^2-18X+60=X^2-9X+60 equation: 


Simplifying
3X2 + -18X + 60 = X2 + -9X + 60

Reorder the terms:
60 + -18X + 3X2 = X2 + -9X + 60

Reorder the terms:
60 + -18X + 3X2 = 60 + -9X + X2

Add '-60' to each side of the equation.
60 + -18X + -60 + 3X2 = 60 + -9X + -60 + X2

Reorder the terms:
60 + -60 + -18X + 3X2 = 60 + -9X + -60 + X2

Combine like terms: 60 + -60 = 0
0 + -18X + 3X2 = 60 + -9X + -60 + X2
-18X + 3X2 = 60 + -9X + -60 + X2

Reorder the terms:
-18X + 3X2 = 60 + -60 + -9X + X2

Combine like terms: 60 + -60 = 0
-18X + 3X2 = 0 + -9X + X2
-18X + 3X2 = -9X + X2

Solving
-18X + 3X2 = -9X + X2

Solving for variable 'X'.

Reorder the terms:
-18X + 9X + 3X2 + -1X2 = -9X + X2 + 9X + -1X2

Combine like terms: -18X + 9X = -9X
-9X + 3X2 + -1X2 = -9X + X2 + 9X + -1X2

Combine like terms: 3X2 + -1X2 = 2X2
-9X + 2X2 = -9X + X2 + 9X + -1X2

Reorder the terms:
-9X + 2X2 = -9X + 9X + X2 + -1X2

Combine like terms: -9X + 9X = 0
-9X + 2X2 = 0 + X2 + -1X2
-9X + 2X2 = X2 + -1X2

Combine like terms: X2 + -1X2 = 0
-9X + 2X2 = 0

Factor out the Greatest Common Factor (GCF), 'X'.
X(-9 + 2X) = 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 + 2X)' equal to zero and attempt to solve:

Simplifying
-9 + 2X = 0

Solving
-9 + 2X = 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 + 2X = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 2X = 0 + 9
2X = 0 + 9

Combine like terms: 0 + 9 = 9
2X = 9

Divide each side by '2'.
X = 4.5

Simplifying
X = 4.5
Solution
X = {0, 4.5}

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