0=9x^2-16x+60

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Solution for 0=9x^2-16x+60 equation:


Simplifying
0 = 9x2 + -16x + 60

Reorder the terms:
0 = 60 + -16x + 9x2

Solving
0 = 60 + -16x + 9x2

Solving for variable 'x'.

Combine like terms: 0 + -60 = -60
-60 + 16x + -9x2 = 60 + -16x + 9x2 + -60 + 16x + -9x2

Reorder the terms:
-60 + 16x + -9x2 = 60 + -60 + -16x + 16x + 9x2 + -9x2

Combine like terms: 60 + -60 = 0
-60 + 16x + -9x2 = 0 + -16x + 16x + 9x2 + -9x2
-60 + 16x + -9x2 = -16x + 16x + 9x2 + -9x2

Combine like terms: -16x + 16x = 0
-60 + 16x + -9x2 = 0 + 9x2 + -9x2
-60 + 16x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-60 + 16x + -9x2 = 0

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

Divide each side by '-9'.
6.666666667 + -1.777777778x + x2 = 0

Move the constant term to the right:

Add '-6.666666667' to each side of the equation.
6.666666667 + -1.777777778x + -6.666666667 + x2 = 0 + -6.666666667

Reorder the terms:
6.666666667 + -6.666666667 + -1.777777778x + x2 = 0 + -6.666666667

Combine like terms: 6.666666667 + -6.666666667 = 0.000000000
0.000000000 + -1.777777778x + x2 = 0 + -6.666666667
-1.777777778x + x2 = 0 + -6.666666667

Combine like terms: 0 + -6.666666667 = -6.666666667
-1.777777778x + x2 = -6.666666667

The x term is -1.777777778x.  Take half its coefficient (-0.888888889).
Square it (0.7901234570) and add it to both sides.

Add '0.7901234570' to each side of the equation.
-1.777777778x + 0.7901234570 + x2 = -6.666666667 + 0.7901234570

Reorder the terms:
0.7901234570 + -1.777777778x + x2 = -6.666666667 + 0.7901234570

Combine like terms: -6.666666667 + 0.7901234570 = -5.87654321
0.7901234570 + -1.777777778x + x2 = -5.87654321

Factor a perfect square on the left side:
(x + -0.888888889)(x + -0.888888889) = -5.87654321

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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