(7X^2+4X-8)+(6X^2-2X+9)-(2X^2+4X-7)=

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Solution for (7X^2+4X-8)+(6X^2-2X+9)-(2X^2+4X-7)= equation:


Simplifying
(7X2 + 4X + -8) + (6X2 + -2X + 9) + -1(2X2 + 4X + -7) = 0

Reorder the terms:
(-8 + 4X + 7X2) + (6X2 + -2X + 9) + -1(2X2 + 4X + -7) = 0

Remove parenthesis around (-8 + 4X + 7X2)
-8 + 4X + 7X2 + (6X2 + -2X + 9) + -1(2X2 + 4X + -7) = 0

Reorder the terms:
-8 + 4X + 7X2 + (9 + -2X + 6X2) + -1(2X2 + 4X + -7) = 0

Remove parenthesis around (9 + -2X + 6X2)
-8 + 4X + 7X2 + 9 + -2X + 6X2 + -1(2X2 + 4X + -7) = 0

Reorder the terms:
-8 + 4X + 7X2 + 9 + -2X + 6X2 + -1(-7 + 4X + 2X2) = 0
-8 + 4X + 7X2 + 9 + -2X + 6X2 + (-7 * -1 + 4X * -1 + 2X2 * -1) = 0
-8 + 4X + 7X2 + 9 + -2X + 6X2 + (7 + -4X + -2X2) = 0

Reorder the terms:
-8 + 9 + 7 + 4X + -2X + -4X + 7X2 + 6X2 + -2X2 = 0

Combine like terms: -8 + 9 = 1
1 + 7 + 4X + -2X + -4X + 7X2 + 6X2 + -2X2 = 0

Combine like terms: 1 + 7 = 8
8 + 4X + -2X + -4X + 7X2 + 6X2 + -2X2 = 0

Combine like terms: 4X + -2X = 2X
8 + 2X + -4X + 7X2 + 6X2 + -2X2 = 0

Combine like terms: 2X + -4X = -2X
8 + -2X + 7X2 + 6X2 + -2X2 = 0

Combine like terms: 7X2 + 6X2 = 13X2
8 + -2X + 13X2 + -2X2 = 0

Combine like terms: 13X2 + -2X2 = 11X2
8 + -2X + 11X2 = 0

Solving
8 + -2X + 11X2 = 0

Solving for variable 'X'.

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

Divide each side by '11'.
0.7272727273 + -0.1818181818X + X2 = 0

Move the constant term to the right:

Add '-0.7272727273' to each side of the equation.
0.7272727273 + -0.1818181818X + -0.7272727273 + X2 = 0 + -0.7272727273

Reorder the terms:
0.7272727273 + -0.7272727273 + -0.1818181818X + X2 = 0 + -0.7272727273

Combine like terms: 0.7272727273 + -0.7272727273 = 0.0000000000
0.0000000000 + -0.1818181818X + X2 = 0 + -0.7272727273
-0.1818181818X + X2 = 0 + -0.7272727273

Combine like terms: 0 + -0.7272727273 = -0.7272727273
-0.1818181818X + X2 = -0.7272727273

The X term is -0.1818181818X.  Take half its coefficient (-0.0909090909).
Square it (0.008264462808) and add it to both sides.

Add '0.008264462808' to each side of the equation.
-0.1818181818X + 0.008264462808 + X2 = -0.7272727273 + 0.008264462808

Reorder the terms:
0.008264462808 + -0.1818181818X + X2 = -0.7272727273 + 0.008264462808

Combine like terms: -0.7272727273 + 0.008264462808 = -0.719008264492
0.008264462808 + -0.1818181818X + X2 = -0.719008264492

Factor a perfect square on the left side:
(X + -0.0909090909)(X + -0.0909090909) = -0.719008264492

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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