5x^2-18x+24=0

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Solution for 5x^2-18x+24=0 equation:


Simplifying
5x2 + -18x + 24 = 0

Reorder the terms:
24 + -18x + 5x2 = 0

Solving
24 + -18x + 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 + -3.6x + x2 = 0

Move the constant term to the right:

Add '-4.8' to each side of the equation.
4.8 + -3.6x + -4.8 + x2 = 0 + -4.8

Reorder the terms:
4.8 + -4.8 + -3.6x + x2 = 0 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + -3.6x + x2 = 0 + -4.8
-3.6x + x2 = 0 + -4.8

Combine like terms: 0 + -4.8 = -4.8
-3.6x + x2 = -4.8

The x term is -3.6x.  Take half its coefficient (-1.8).
Square it (3.24) and add it to both sides.

Add '3.24' to each side of the equation.
-3.6x + 3.24 + x2 = -4.8 + 3.24

Reorder the terms:
3.24 + -3.6x + x2 = -4.8 + 3.24

Combine like terms: -4.8 + 3.24 = -1.56
3.24 + -3.6x + x2 = -1.56

Factor a perfect square on the left side:
(x + -1.8)(x + -1.8) = -1.56

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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