36x^2-112x+120=0

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Solution for 36x^2-112x+120=0 equation: 


Simplifying
36x2 + -112x + 120 = 0

Reorder the terms:
120 + -112x + 36x2 = 0

Solving
120 + -112x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(30 + -28x + 9x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(30 + -28x + 9x2)' equal to zero and attempt to solve:

Simplifying
30 + -28x + 9x2 = 0

Solving
30 + -28x + 9x2 = 0

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

Divide each side by '9'.
3.333333333 + -3.111111111x + x2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + -3.111111111x + -3.333333333 + x2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + -3.111111111x + x2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + -3.111111111x + x2 = 0 + -3.333333333
-3.111111111x + x2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
-3.111111111x + x2 = -3.333333333

The x term is -3.111111111x.  Take half its coefficient (-1.555555556).
Square it (2.419753088) and add it to both sides.

Add '2.419753088' to each side of the equation.
-3.111111111x + 2.419753088 + x2 = -3.333333333 + 2.419753088

Reorder the terms:
2.419753088 + -3.111111111x + x2 = -3.333333333 + 2.419753088

Combine like terms: -3.333333333 + 2.419753088 = -0.913580245
2.419753088 + -3.111111111x + x2 = -0.913580245

Factor a perfect square on the left side:
(x + -1.555555556)(x + -1.555555556) = -0.913580245

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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