18*x^2-120*x+280=0

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Solution for 18*x^2-120*x+280=0 equation: 


Simplifying
18x2 + -120x + 280 = 0

Reorder the terms:
280 + -120x + 18x2 = 0

Solving
280 + -120x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(140 + -60x + 9x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(140 + -60x + 9x2)' equal to zero and attempt to solve:

Simplifying
140 + -60x + 9x2 = 0

Solving
140 + -60x + 9x2 = 0

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

Divide each side by '9'.
15.55555556 + -6.666666667x + x2 = 0

Move the constant term to the right:

Add '-15.55555556' to each side of the equation.
15.55555556 + -6.666666667x + -15.55555556 + x2 = 0 + -15.55555556

Reorder the terms:
15.55555556 + -15.55555556 + -6.666666667x + x2 = 0 + -15.55555556

Combine like terms: 15.55555556 + -15.55555556 = 0.00000000
0.00000000 + -6.666666667x + x2 = 0 + -15.55555556
-6.666666667x + x2 = 0 + -15.55555556

Combine like terms: 0 + -15.55555556 = -15.55555556
-6.666666667x + x2 = -15.55555556

The x term is -6.666666667x.  Take half its coefficient (-3.333333334).
Square it (11.11111112) and add it to both sides.

Add '11.11111112' to each side of the equation.
-6.666666667x + 11.11111112 + x2 = -15.55555556 + 11.11111112

Reorder the terms:
11.11111112 + -6.666666667x + x2 = -15.55555556 + 11.11111112

Combine like terms: -15.55555556 + 11.11111112 = -4.44444444
11.11111112 + -6.666666667x + x2 = -4.44444444

Factor a perfect square on the left side:
(x + -3.333333334)(x + -3.333333334) = -4.44444444

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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