5x^2-30x+54=0

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Solution for 5x^2-30x+54=0 equation:


Simplifying
5x2 + -30x + 54 = 0

Reorder the terms:
54 + -30x + 5x2 = 0

Solving
54 + -30x + 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'.
10.8 + -6x + x2 = 0

Move the constant term to the right:

Add '-10.8' to each side of the equation.
10.8 + -6x + -10.8 + x2 = 0 + -10.8

Reorder the terms:
10.8 + -10.8 + -6x + x2 = 0 + -10.8

Combine like terms: 10.8 + -10.8 = 0.0
0.0 + -6x + x2 = 0 + -10.8
-6x + x2 = 0 + -10.8

Combine like terms: 0 + -10.8 = -10.8
-6x + x2 = -10.8

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -10.8 + 9

Reorder the terms:
9 + -6x + x2 = -10.8 + 9

Combine like terms: -10.8 + 9 = -1.8
9 + -6x + x2 = -1.8

Factor a perfect square on the left side:
(x + -3)(x + -3) = -1.8

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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