-9x^2+x=4

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Solution for -9x^2+x=4 equation:


Simplifying
-9x2 + x = 4

Reorder the terms:
x + -9x2 = 4

Solving
x + -9x2 = 4

Solving for variable 'x'.

Reorder the terms:
-4 + x + -9x2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + x + -9x2 = 0

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

Divide each side by '-9'.
0.4444444444 + -0.1111111111x + x2 = 0

Move the constant term to the right:

Add '-0.4444444444' to each side of the equation.
0.4444444444 + -0.1111111111x + -0.4444444444 + x2 = 0 + -0.4444444444

Reorder the terms:
0.4444444444 + -0.4444444444 + -0.1111111111x + x2 = 0 + -0.4444444444

Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000
0.0000000000 + -0.1111111111x + x2 = 0 + -0.4444444444
-0.1111111111x + x2 = 0 + -0.4444444444

Combine like terms: 0 + -0.4444444444 = -0.4444444444
-0.1111111111x + x2 = -0.4444444444

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.1111111111x + 0.25 + x2 = -0.4444444444 + 0.25

Reorder the terms:
0.25 + -0.1111111111x + x2 = -0.4444444444 + 0.25

Combine like terms: -0.4444444444 + 0.25 = -0.1944444444
0.25 + -0.1111111111x + x2 = -0.1944444444

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -0.1944444444

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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