7X^2=2(X-9)

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Solution for 7X^2=2(X-9) equation: 


Simplifying
7X2 = 2(X + -9)

Reorder the terms:
7X2 = 2(-9 + X)
7X2 = (-9 * 2 + X * 2)
7X2 = (-18 + 2X)

Solving
7X2 = -18 + 2X

Solving for variable 'X'.

Reorder the terms:
18 + -2X + 7X2 = -18 + 2X + 18 + -2X

Reorder the terms:
18 + -2X + 7X2 = -18 + 18 + 2X + -2X

Combine like terms: -18 + 18 = 0
18 + -2X + 7X2 = 0 + 2X + -2X
18 + -2X + 7X2 = 2X + -2X

Combine like terms: 2X + -2X = 0
18 + -2X + 7X2 = 0

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

Divide each side by '7'.
2.571428571 + -0.2857142857X + X2 = 0

Move the constant term to the right:

Add '-2.571428571' to each side of the equation.
2.571428571 + -0.2857142857X + -2.571428571 + X2 = 0 + -2.571428571

Reorder the terms:
2.571428571 + -2.571428571 + -0.2857142857X + X2 = 0 + -2.571428571

Combine like terms: 2.571428571 + -2.571428571 = 0.000000000
0.000000000 + -0.2857142857X + X2 = 0 + -2.571428571
-0.2857142857X + X2 = 0 + -2.571428571

Combine like terms: 0 + -2.571428571 = -2.571428571
-0.2857142857X + X2 = -2.571428571

The X term is -0.2857142857X.  Take half its coefficient (-0.1428571429).
Square it (0.02040816328) and add it to both sides.

Add '0.02040816328' to each side of the equation.
-0.2857142857X + 0.02040816328 + X2 = -2.571428571 + 0.02040816328

Reorder the terms:
0.02040816328 + -0.2857142857X + X2 = -2.571428571 + 0.02040816328

Combine like terms: -2.571428571 + 0.02040816328 = -2.55102040772
0.02040816328 + -0.2857142857X + X2 = -2.55102040772

Factor a perfect square on the left side:
(X + -0.1428571429)(X + -0.1428571429) = -2.55102040772

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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