(-x^2+9x-2)-(9x^2-4x+4)=

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


Simplifying
(-1x2 + 9x + -2) + -1(9x2 + -4x + 4) = 0

Reorder the terms:
(-2 + 9x + -1x2) + -1(9x2 + -4x + 4) = 0

Remove parenthesis around (-2 + 9x + -1x2)
-2 + 9x + -1x2 + -1(9x2 + -4x + 4) = 0

Reorder the terms:
-2 + 9x + -1x2 + -1(4 + -4x + 9x2) = 0
-2 + 9x + -1x2 + (4 * -1 + -4x * -1 + 9x2 * -1) = 0
-2 + 9x + -1x2 + (-4 + 4x + -9x2) = 0

Reorder the terms:
-2 + -4 + 9x + 4x + -1x2 + -9x2 = 0

Combine like terms: -2 + -4 = -6
-6 + 9x + 4x + -1x2 + -9x2 = 0

Combine like terms: 9x + 4x = 13x
-6 + 13x + -1x2 + -9x2 = 0

Combine like terms: -1x2 + -9x2 = -10x2
-6 + 13x + -10x2 = 0

Solving
-6 + 13x + -10x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-10 the coefficient of the squared term: 

Divide each side by '-10'.
0.6 + -1.3x + x2 = 0.0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + -1.3x + -0.6 + x2 = 0.0 + -0.6

Reorder the terms:
0.6 + -0.6 + -1.3x + x2 = 0.0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -1.3x + x2 = 0.0 + -0.6
-1.3x + x2 = 0.0 + -0.6

Combine like terms: 0.0 + -0.6 = -0.6
-1.3x + x2 = -0.6

The x term is -1.3x.  Take half its coefficient (-0.65).
Square it (0.4225) and add it to both sides.

Add '0.4225' to each side of the equation.
-1.3x + 0.4225 + x2 = -0.6 + 0.4225

Reorder the terms:
0.4225 + -1.3x + x2 = -0.6 + 0.4225

Combine like terms: -0.6 + 0.4225 = -0.1775
0.4225 + -1.3x + x2 = -0.1775

Factor a perfect square on the left side:
(x + -0.65)(x + -0.65) = -0.1775

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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