7x-9x*10x=17

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Solution for 7x-9x*10x=17 equation:


Simplifying
7x + -9x * 10x = 17

Reorder the terms for easier multiplication:
7x + -9 * 10x * x = 17

Multiply -9 * 10
7x + -90x * x = 17

Multiply x * x
7x + -90x2 = 17

Solving
7x + -90x2 = 17

Solving for variable 'x'.

Reorder the terms:
-17 + 7x + -90x2 = 17 + -17

Combine like terms: 17 + -17 = 0
-17 + 7x + -90x2 = 0

Begin completing the square.  Divide all terms by
-90 the coefficient of the squared term: 

Divide each side by '-90'.
0.1888888889 + -0.07777777778x + x2 = 0.0

Move the constant term to the right:

Add '-0.1888888889' to each side of the equation.
0.1888888889 + -0.07777777778x + -0.1888888889 + x2 = 0.0 + -0.1888888889

Reorder the terms:
0.1888888889 + -0.1888888889 + -0.07777777778x + x2 = 0.0 + -0.1888888889

Combine like terms: 0.1888888889 + -0.1888888889 = 0.0000000000
0.0000000000 + -0.07777777778x + x2 = 0.0 + -0.1888888889
-0.07777777778x + x2 = 0.0 + -0.1888888889

Combine like terms: 0.0 + -0.1888888889 = -0.1888888889
-0.07777777778x + x2 = -0.1888888889

The x term is -0.07777777778x.  Take half its coefficient (-0.03888888889).
Square it (0.001512345679) and add it to both sides.

Add '0.001512345679' to each side of the equation.
-0.07777777778x + 0.001512345679 + x2 = -0.1888888889 + 0.001512345679

Reorder the terms:
0.001512345679 + -0.07777777778x + x2 = -0.1888888889 + 0.001512345679

Combine like terms: -0.1888888889 + 0.001512345679 = -0.187376543221
0.001512345679 + -0.07777777778x + x2 = -0.187376543221

Factor a perfect square on the left side:
(x + -0.03888888889)(x + -0.03888888889) = -0.187376543221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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