-9x^2+30x=35

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Solution for -9x^2+30x=35 equation: 


Simplifying
-9x2 + 30x = 35

Reorder the terms:
30x + -9x2 = 35

Solving
30x + -9x2 = 35

Solving for variable 'x'.

Reorder the terms:
-35 + 30x + -9x2 = 35 + -35

Combine like terms: 35 + -35 = 0
-35 + 30x + -9x2 = 0

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

Divide each side by '-9'.
3.888888889 + -3.333333333x + x2 = 0

Move the constant term to the right:

Add '-3.888888889' to each side of the equation.
3.888888889 + -3.333333333x + -3.888888889 + x2 = 0 + -3.888888889

Reorder the terms:
3.888888889 + -3.888888889 + -3.333333333x + x2 = 0 + -3.888888889

Combine like terms: 3.888888889 + -3.888888889 = 0.000000000
0.000000000 + -3.333333333x + x2 = 0 + -3.888888889
-3.333333333x + x2 = 0 + -3.888888889

Combine like terms: 0 + -3.888888889 = -3.888888889
-3.333333333x + x2 = -3.888888889

The x term is -3.333333333x.  Take half its coefficient (-1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
-3.333333333x + 2.777777779 + x2 = -3.888888889 + 2.777777779

Reorder the terms:
2.777777779 + -3.333333333x + x2 = -3.888888889 + 2.777777779

Combine like terms: -3.888888889 + 2.777777779 = -1.11111111
2.777777779 + -3.333333333x + x2 = -1.11111111

Factor a perfect square on the left side:
(x + -1.666666667)(x + -1.666666667) = -1.11111111

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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