=15x^2-4x+4

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Solution for =15x^2-4x+4 equation: 


Simplifying
0 = 15x2 + -4x + 4

Reorder the terms:
0 = 4 + -4x + 15x2

Solving
0 = 4 + -4x + 15x2

Solving for variable 'x'.

Combine like terms: 0 + -4 = -4
-4 + 4x + -15x2 = 4 + -4x + 15x2 + -4 + 4x + -15x2

Reorder the terms:
-4 + 4x + -15x2 = 4 + -4 + -4x + 4x + 15x2 + -15x2

Combine like terms: 4 + -4 = 0
-4 + 4x + -15x2 = 0 + -4x + 4x + 15x2 + -15x2
-4 + 4x + -15x2 = -4x + 4x + 15x2 + -15x2

Combine like terms: -4x + 4x = 0
-4 + 4x + -15x2 = 0 + 15x2 + -15x2
-4 + 4x + -15x2 = 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
-4 + 4x + -15x2 = 0

Begin completing the square.  Divide all terms by
-15 the coefficient of the squared term: 

Divide each side by '-15'.
0.2666666667 + -0.2666666667x + x2 = 0

Move the constant term to the right:

Add '-0.2666666667' to each side of the equation.
0.2666666667 + -0.2666666667x + -0.2666666667 + x2 = 0 + -0.2666666667

Reorder the terms:
0.2666666667 + -0.2666666667 + -0.2666666667x + x2 = 0 + -0.2666666667

Combine like terms: 0.2666666667 + -0.2666666667 = 0.0000000000
0.0000000000 + -0.2666666667x + x2 = 0 + -0.2666666667
-0.2666666667x + x2 = 0 + -0.2666666667

Combine like terms: 0 + -0.2666666667 = -0.2666666667
-0.2666666667x + x2 = -0.2666666667

The x term is -0.2666666667x.  Take half its coefficient (-0.1333333334).
Square it (0.01777777780) and add it to both sides.

Add '0.01777777780' to each side of the equation.
-0.2666666667x + 0.01777777780 + x2 = -0.2666666667 + 0.01777777780

Reorder the terms:
0.01777777780 + -0.2666666667x + x2 = -0.2666666667 + 0.01777777780

Combine like terms: -0.2666666667 + 0.01777777780 = -0.2488888889
0.01777777780 + -0.2666666667x + x2 = -0.2488888889

Factor a perfect square on the left side:
(x + -0.1333333334)(x + -0.1333333334) = -0.2488888889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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