18X^2-40X+48=0

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Solution for 18X^2-40X+48=0 equation: 


Simplifying
18X2 + -40X + 48 = 0

Reorder the terms:
48 + -40X + 18X2 = 0

Solving
48 + -40X + 18X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + -20X + 9X2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(24 + -20X + 9X2)' equal to zero and attempt to solve:

Simplifying
24 + -20X + 9X2 = 0

Solving
24 + -20X + 9X2 = 0

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

Divide each side by '9'.
2.666666667 + -2.222222222X + X2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + -2.222222222X + -2.666666667 + X2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + -2.222222222X + X2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + -2.222222222X + X2 = 0 + -2.666666667
-2.222222222X + X2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
-2.222222222X + X2 = -2.666666667

The X term is -2.222222222X.  Take half its coefficient (-1.111111111).
Square it (1.234567901) and add it to both sides.

Add '1.234567901' to each side of the equation.
-2.222222222X + 1.234567901 + X2 = -2.666666667 + 1.234567901

Reorder the terms:
1.234567901 + -2.222222222X + X2 = -2.666666667 + 1.234567901

Combine like terms: -2.666666667 + 1.234567901 = -1.432098766
1.234567901 + -2.222222222X + X2 = -1.432098766

Factor a perfect square on the left side:
(X + -1.111111111)(X + -1.111111111) = -1.432098766

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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