9x^2=7x-56

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Solution for 9x^2=7x-56 equation:


Simplifying
9x2 = 7x + -56

Reorder the terms:
9x2 = -56 + 7x

Solving
9x2 = -56 + 7x

Solving for variable 'x'.

Reorder the terms:
56 + -7x + 9x2 = -56 + 7x + 56 + -7x

Reorder the terms:
56 + -7x + 9x2 = -56 + 56 + 7x + -7x

Combine like terms: -56 + 56 = 0
56 + -7x + 9x2 = 0 + 7x + -7x
56 + -7x + 9x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
56 + -7x + 9x2 = 0

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

Divide each side by '9'.
6.222222222 + -0.7777777778x + x2 = 0

Move the constant term to the right:

Add '-6.222222222' to each side of the equation.
6.222222222 + -0.7777777778x + -6.222222222 + x2 = 0 + -6.222222222

Reorder the terms:
6.222222222 + -6.222222222 + -0.7777777778x + x2 = 0 + -6.222222222

Combine like terms: 6.222222222 + -6.222222222 = 0.000000000
0.000000000 + -0.7777777778x + x2 = 0 + -6.222222222
-0.7777777778x + x2 = 0 + -6.222222222

Combine like terms: 0 + -6.222222222 = -6.222222222
-0.7777777778x + x2 = -6.222222222

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 = -6.222222222 + 0.1512345679

Reorder the terms:
0.1512345679 + -0.7777777778x + x2 = -6.222222222 + 0.1512345679

Combine like terms: -6.222222222 + 0.1512345679 = -6.0709876541
0.1512345679 + -0.7777777778x + x2 = -6.0709876541

Factor a perfect square on the left side:
(x + -0.3888888889)(x + -0.3888888889) = -6.0709876541

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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