2X+3X(X-2)=7X-34

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Solution for 2X+3X(X-2)=7X-34 equation: 


Simplifying
2X + 3X(X + -2) = 7X + -34

Reorder the terms:
2X + 3X(-2 + X) = 7X + -34
2X + (-2 * 3X + X * 3X) = 7X + -34
2X + (-6X + 3X2) = 7X + -34

Combine like terms: 2X + -6X = -4X
-4X + 3X2 = 7X + -34

Reorder the terms:
-4X + 3X2 = -34 + 7X

Solving
-4X + 3X2 = -34 + 7X

Solving for variable 'X'.

Reorder the terms:
34 + -4X + -7X + 3X2 = -34 + 7X + 34 + -7X

Combine like terms: -4X + -7X = -11X
34 + -11X + 3X2 = -34 + 7X + 34 + -7X

Reorder the terms:
34 + -11X + 3X2 = -34 + 34 + 7X + -7X

Combine like terms: -34 + 34 = 0
34 + -11X + 3X2 = 0 + 7X + -7X
34 + -11X + 3X2 = 7X + -7X

Combine like terms: 7X + -7X = 0
34 + -11X + 3X2 = 0

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

Divide each side by '3'.
11.33333333 + -3.666666667X + X2 = 0

Move the constant term to the right:

Add '-11.33333333' to each side of the equation.
11.33333333 + -3.666666667X + -11.33333333 + X2 = 0 + -11.33333333

Reorder the terms:
11.33333333 + -11.33333333 + -3.666666667X + X2 = 0 + -11.33333333

Combine like terms: 11.33333333 + -11.33333333 = 0.00000000
0.00000000 + -3.666666667X + X2 = 0 + -11.33333333
-3.666666667X + X2 = 0 + -11.33333333

Combine like terms: 0 + -11.33333333 = -11.33333333
-3.666666667X + X2 = -11.33333333

The X term is -3.666666667X.  Take half its coefficient (-1.833333334).
Square it (3.361111114) and add it to both sides.

Add '3.361111114' to each side of the equation.
-3.666666667X + 3.361111114 + X2 = -11.33333333 + 3.361111114

Reorder the terms:
3.361111114 + -3.666666667X + X2 = -11.33333333 + 3.361111114

Combine like terms: -11.33333333 + 3.361111114 = -7.972222216
3.361111114 + -3.666666667X + X2 = -7.972222216

Factor a perfect square on the left side:
(X + -1.833333334)(X + -1.833333334) = -7.972222216

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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