9x+26+7x-17=2x(-3x)+5x

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Solution for 9x+26+7x-17=2x(-3x)+5x equation:


Simplifying
9x + 26 + 7x + -17 = 2x(-3x) + 5x

Reorder the terms:
26 + -17 + 9x + 7x = 2x(-3x) + 5x

Combine like terms: 26 + -17 = 9
9 + 9x + 7x = 2x(-3x) + 5x

Combine like terms: 9x + 7x = 16x
9 + 16x = 2x(-3x) + 5x

Remove parenthesis around (-3x)
9 + 16x = 2x * -3x + 5x

Reorder the terms for easier multiplication:
9 + 16x = 2 * -3x * x + 5x

Multiply 2 * -3
9 + 16x = -6x * x + 5x

Multiply x * x
9 + 16x = -6x2 + 5x

Reorder the terms:
9 + 16x = 5x + -6x2

Solving
9 + 16x = 5x + -6x2

Solving for variable 'x'.

Combine like terms: 16x + -5x = 11x
9 + 11x + 6x2 = 5x + -6x2 + -5x + 6x2

Reorder the terms:
9 + 11x + 6x2 = 5x + -5x + -6x2 + 6x2

Combine like terms: 5x + -5x = 0
9 + 11x + 6x2 = 0 + -6x2 + 6x2
9 + 11x + 6x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
9 + 11x + 6x2 = 0

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

Divide each side by '6'.
1.5 + 1.833333333x + x2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + 1.833333333x + -1.5 + x2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + 1.833333333x + x2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 1.833333333x + x2 = 0 + -1.5
1.833333333x + x2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
1.833333333x + x2 = -1.5

The x term is 1.833333333x.  Take half its coefficient (0.9166666665).
Square it (0.8402777775) and add it to both sides.

Add '0.8402777775' to each side of the equation.
1.833333333x + 0.8402777775 + x2 = -1.5 + 0.8402777775

Reorder the terms:
0.8402777775 + 1.833333333x + x2 = -1.5 + 0.8402777775

Combine like terms: -1.5 + 0.8402777775 = -0.6597222225
0.8402777775 + 1.833333333x + x2 = -0.6597222225

Factor a perfect square on the left side:
(x + 0.9166666665)(x + 0.9166666665) = -0.6597222225

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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