18x^2-48x+45=0

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Solution for 18x^2-48x+45=0 equation: 


Simplifying
18x2 + -48x + 45 = 0

Reorder the terms:
45 + -48x + 18x2 = 0

Solving
45 + -48x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(15 + -16x + 6x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(15 + -16x + 6x2)' equal to zero and attempt to solve:

Simplifying
15 + -16x + 6x2 = 0

Solving
15 + -16x + 6x2 = 0

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

Divide each side by '6'.
2.5 + -2.666666667x + x2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -2.666666667x + -2.5 + x2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -2.666666667x + x2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -2.666666667x + x2 = 0 + -2.5
-2.666666667x + x2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-2.666666667x + x2 = -2.5

The x term is -2.666666667x.  Take half its coefficient (-1.333333334).
Square it (1.777777780) and add it to both sides.

Add '1.777777780' to each side of the equation.
-2.666666667x + 1.777777780 + x2 = -2.5 + 1.777777780

Reorder the terms:
1.777777780 + -2.666666667x + x2 = -2.5 + 1.777777780

Combine like terms: -2.5 + 1.777777780 = -0.72222222
1.777777780 + -2.666666667x + x2 = -0.72222222

Factor a perfect square on the left side:
(x + -1.333333334)(x + -1.333333334) = -0.72222222

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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