X^2-33X+300=0

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Solution for X^2-33X+300=0 equation:


Simplifying
X2 + -33X + 300 = 0

Reorder the terms:
300 + -33X + X2 = 0

Solving
300 + -33X + X2 = 0

Solving for variable 'X'.

Begin completing the square.

Move the constant term to the right:

Add '-300' to each side of the equation.
300 + -33X + -300 + X2 = 0 + -300

Reorder the terms:
300 + -300 + -33X + X2 = 0 + -300

Combine like terms: 300 + -300 = 0
0 + -33X + X2 = 0 + -300
-33X + X2 = 0 + -300

Combine like terms: 0 + -300 = -300
-33X + X2 = -300

The X term is -33X.  Take half its coefficient (-16.5).
Square it (272.25) and add it to both sides.

Add '272.25' to each side of the equation.
-33X + 272.25 + X2 = -300 + 272.25

Reorder the terms:
272.25 + -33X + X2 = -300 + 272.25

Combine like terms: -300 + 272.25 = -27.75
272.25 + -33X + X2 = -27.75

Factor a perfect square on the left side:
(X + -16.5)(X + -16.5) = -27.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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