0=15X^2-16X+10

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Solution for 0=15X^2-16X+10 equation: 


Simplifying
0 = 15X2 + -16X + 10

Reorder the terms:
0 = 10 + -16X + 15X2

Solving
0 = 10 + -16X + 15X2

Solving for variable 'X'.

Combine like terms: 0 + -10 = -10
-10 + 16X + -15X2 = 10 + -16X + 15X2 + -10 + 16X + -15X2

Reorder the terms:
-10 + 16X + -15X2 = 10 + -10 + -16X + 16X + 15X2 + -15X2

Combine like terms: 10 + -10 = 0
-10 + 16X + -15X2 = 0 + -16X + 16X + 15X2 + -15X2
-10 + 16X + -15X2 = -16X + 16X + 15X2 + -15X2

Combine like terms: -16X + 16X = 0
-10 + 16X + -15X2 = 0 + 15X2 + -15X2
-10 + 16X + -15X2 = 15X2 + -15X2

Combine like terms: 15X2 + -15X2 = 0
-10 + 16X + -15X2 = 0

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

Divide each side by '-15'.
0.6666666667 + -1.066666667X + X2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + -1.066666667X + -0.6666666667 + X2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + -1.066666667X + X2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + -1.066666667X + X2 = 0 + -0.6666666667
-1.066666667X + X2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
-1.066666667X + X2 = -0.6666666667

The X term is -1.066666667X.  Take half its coefficient (-0.5333333335).
Square it (0.2844444446) and add it to both sides.

Add '0.2844444446' to each side of the equation.
-1.066666667X + 0.2844444446 + X2 = -0.6666666667 + 0.2844444446

Reorder the terms:
0.2844444446 + -1.066666667X + X2 = -0.6666666667 + 0.2844444446

Combine like terms: -0.6666666667 + 0.2844444446 = -0.3822222221
0.2844444446 + -1.066666667X + X2 = -0.3822222221

Factor a perfect square on the left side:
(X + -0.5333333335)(X + -0.5333333335) = -0.3822222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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