5x^2-33x+150=0

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Solution for 5x^2-33x+150=0 equation:


Simplifying
5x2 + -33x + 150 = 0

Reorder the terms:
150 + -33x + 5x2 = 0

Solving
150 + -33x + 5x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
5 the coefficient of the squared term: 

Divide each side by '5'.
30 + -6.6x + x2 = 0

Move the constant term to the right:

Add '-30' to each side of the equation.
30 + -6.6x + -30 + x2 = 0 + -30

Reorder the terms:
30 + -30 + -6.6x + x2 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -6.6x + x2 = 0 + -30
-6.6x + x2 = 0 + -30

Combine like terms: 0 + -30 = -30
-6.6x + x2 = -30

The x term is -6.6x.  Take half its coefficient (-3.3).
Square it (10.89) and add it to both sides.

Add '10.89' to each side of the equation.
-6.6x + 10.89 + x2 = -30 + 10.89

Reorder the terms:
10.89 + -6.6x + x2 = -30 + 10.89

Combine like terms: -30 + 10.89 = -19.11
10.89 + -6.6x + x2 = -19.11

Factor a perfect square on the left side:
(x + -3.3)(x + -3.3) = -19.11

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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