72x^2-56x+30=0

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Solution for 72x^2-56x+30=0 equation: 


Simplifying
72x2 + -56x + 30 = 0

Reorder the terms:
30 + -56x + 72x2 = 0

Solving
30 + -56x + 72x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + -28x + 36x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(15 + -28x + 36x2)' equal to zero and attempt to solve:

Simplifying
15 + -28x + 36x2 = 0

Solving
15 + -28x + 36x2 = 0

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

Divide each side by '36'.
0.4166666667 + -0.7777777778x + x2 = 0

Move the constant term to the right:

Add '-0.4166666667' to each side of the equation.
0.4166666667 + -0.7777777778x + -0.4166666667 + x2 = 0 + -0.4166666667

Reorder the terms:
0.4166666667 + -0.4166666667 + -0.7777777778x + x2 = 0 + -0.4166666667

Combine like terms: 0.4166666667 + -0.4166666667 = 0.0000000000
0.0000000000 + -0.7777777778x + x2 = 0 + -0.4166666667
-0.7777777778x + x2 = 0 + -0.4166666667

Combine like terms: 0 + -0.4166666667 = -0.4166666667
-0.7777777778x + x2 = -0.4166666667

The x term is -0.7777777778x.  Take half its coefficient (-0.3888888889).
Square it (0.1512345679) and add it to both sides.

Add '0.1512345679' to each side of the equation.
-0.7777777778x + 0.1512345679 + x2 = -0.4166666667 + 0.1512345679

Reorder the terms:
0.1512345679 + -0.7777777778x + x2 = -0.4166666667 + 0.1512345679

Combine like terms: -0.4166666667 + 0.1512345679 = -0.2654320988
0.1512345679 + -0.7777777778x + x2 = -0.2654320988

Factor a perfect square on the left side:
(x + -0.3888888889)(x + -0.3888888889) = -0.2654320988

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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