(4X^2-4X+9)-(-4X^2+8X-1)+(4X^2+5X-2)=

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Solution for (4X^2-4X+9)-(-4X^2+8X-1)+(4X^2+5X-2)= equation:


Simplifying
(4X2 + -4X + 9) + -1(-4X2 + 8X + -1) + (4X2 + 5X + -2) = 0

Reorder the terms:
(9 + -4X + 4X2) + -1(-4X2 + 8X + -1) + (4X2 + 5X + -2) = 0

Remove parenthesis around (9 + -4X + 4X2)
9 + -4X + 4X2 + -1(-4X2 + 8X + -1) + (4X2 + 5X + -2) = 0

Reorder the terms:
9 + -4X + 4X2 + -1(-1 + 8X + -4X2) + (4X2 + 5X + -2) = 0
9 + -4X + 4X2 + (-1 * -1 + 8X * -1 + -4X2 * -1) + (4X2 + 5X + -2) = 0
9 + -4X + 4X2 + (1 + -8X + 4X2) + (4X2 + 5X + -2) = 0

Reorder the terms:
9 + -4X + 4X2 + 1 + -8X + 4X2 + (-2 + 5X + 4X2) = 0

Remove parenthesis around (-2 + 5X + 4X2)
9 + -4X + 4X2 + 1 + -8X + 4X2 + -2 + 5X + 4X2 = 0

Reorder the terms:
9 + 1 + -2 + -4X + -8X + 5X + 4X2 + 4X2 + 4X2 = 0

Combine like terms: 9 + 1 = 10
10 + -2 + -4X + -8X + 5X + 4X2 + 4X2 + 4X2 = 0

Combine like terms: 10 + -2 = 8
8 + -4X + -8X + 5X + 4X2 + 4X2 + 4X2 = 0

Combine like terms: -4X + -8X = -12X
8 + -12X + 5X + 4X2 + 4X2 + 4X2 = 0

Combine like terms: -12X + 5X = -7X
8 + -7X + 4X2 + 4X2 + 4X2 = 0

Combine like terms: 4X2 + 4X2 = 8X2
8 + -7X + 8X2 + 4X2 = 0

Combine like terms: 8X2 + 4X2 = 12X2
8 + -7X + 12X2 = 0

Solving
8 + -7X + 12X2 = 0

Solving for variable 'X'.

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

Divide each side by '12'.
0.6666666667 + -0.5833333333X + X2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + -0.5833333333X + -0.6666666667 + X2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + -0.5833333333X + X2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + -0.5833333333X + X2 = 0 + -0.6666666667
-0.5833333333X + X2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
-0.5833333333X + X2 = -0.6666666667

The X term is -0.5833333333X.  Take half its coefficient (-0.2916666667).
Square it (0.08506944446) and add it to both sides.

Add '0.08506944446' to each side of the equation.
-0.5833333333X + 0.08506944446 + X2 = -0.6666666667 + 0.08506944446

Reorder the terms:
0.08506944446 + -0.5833333333X + X2 = -0.6666666667 + 0.08506944446

Combine like terms: -0.6666666667 + 0.08506944446 = -0.58159722224
0.08506944446 + -0.5833333333X + X2 = -0.58159722224

Factor a perfect square on the left side:
(X + -0.2916666667)(X + -0.2916666667) = -0.58159722224

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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