5*(x^2)-6x+24=0

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Solution for 5*(x^2)-6x+24=0 equation: 


Simplifying
5(x2) + -6x + 24 = 0

Reorder the terms:
24 + -6x + 5x2 = 0

Solving
24 + -6x + 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'.
4.8 + -1.2x + x2 = 0

Move the constant term to the right:

Add '-4.8' to each side of the equation.
4.8 + -1.2x + -4.8 + x2 = 0 + -4.8

Reorder the terms:
4.8 + -4.8 + -1.2x + x2 = 0 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + -1.2x + x2 = 0 + -4.8
-1.2x + x2 = 0 + -4.8

Combine like terms: 0 + -4.8 = -4.8
-1.2x + x2 = -4.8

The x term is -1.2x.  Take half its coefficient (-0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
-1.2x + 0.36 + x2 = -4.8 + 0.36

Reorder the terms:
0.36 + -1.2x + x2 = -4.8 + 0.36

Combine like terms: -4.8 + 0.36 = -4.44
0.36 + -1.2x + x2 = -4.44

Factor a perfect square on the left side:
(x + -0.6)(x + -0.6) = -4.44

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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