15x^2-60x+64=0

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Solution for 15x^2-60x+64=0 equation:


Simplifying
15x2 + -60x + 64 = 0

Reorder the terms:
64 + -60x + 15x2 = 0

Solving
64 + -60x + 15x2 = 0

Solving for variable 'x'.

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

Divide each side by '15'.
4.266666667 + -4x + x2 = 0

Move the constant term to the right:

Add '-4.266666667' to each side of the equation.
4.266666667 + -4x + -4.266666667 + x2 = 0 + -4.266666667

Reorder the terms:
4.266666667 + -4.266666667 + -4x + x2 = 0 + -4.266666667

Combine like terms: 4.266666667 + -4.266666667 = 0.000000000
0.000000000 + -4x + x2 = 0 + -4.266666667
-4x + x2 = 0 + -4.266666667

Combine like terms: 0 + -4.266666667 = -4.266666667
-4x + x2 = -4.266666667

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -4.266666667 + 4

Reorder the terms:
4 + -4x + x2 = -4.266666667 + 4

Combine like terms: -4.266666667 + 4 = -0.266666667
4 + -4x + x2 = -0.266666667

Factor a perfect square on the left side:
(x + -2)(x + -2) = -0.266666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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