9x-10x*-x+30=8+x*-x+3

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Solution for 9x-10x*-x+30=8+x*-x+3 equation: 


Simplifying
9x + -10x * -1x + 30 = 8 + x * -1x + 3

Reorder the terms for easier multiplication:
9x + -10 * -1x * x + 30 = 8 + x * -1x + 3

Multiply -10 * -1
9x + 10x * x + 30 = 8 + x * -1x + 3

Multiply x * x
9x + 10x2 + 30 = 8 + x * -1x + 3

Reorder the terms:
30 + 9x + 10x2 = 8 + x * -1x + 3

Reorder the terms for easier multiplication:
30 + 9x + 10x2 = 8 + -1x * x + 3

Multiply x * x
30 + 9x + 10x2 = 8 + -1x2 + 3

Reorder the terms:
30 + 9x + 10x2 = 8 + 3 + -1x2

Combine like terms: 8 + 3 = 11
30 + 9x + 10x2 = 11 + -1x2

Solving
30 + 9x + 10x2 = 11 + -1x2

Solving for variable 'x'.

Reorder the terms:
30 + -11 + 9x + 10x2 + x2 = 11 + -1x2 + -11 + x2

Combine like terms: 30 + -11 = 19
19 + 9x + 10x2 + x2 = 11 + -1x2 + -11 + x2

Combine like terms: 10x2 + x2 = 11x2
19 + 9x + 11x2 = 11 + -1x2 + -11 + x2

Reorder the terms:
19 + 9x + 11x2 = 11 + -11 + -1x2 + x2

Combine like terms: 11 + -11 = 0
19 + 9x + 11x2 = 0 + -1x2 + x2
19 + 9x + 11x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
19 + 9x + 11x2 = 0

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

Divide each side by '11'.
1.727272727 + 0.8181818182x + x2 = 0

Move the constant term to the right:

Add '-1.727272727' to each side of the equation.
1.727272727 + 0.8181818182x + -1.727272727 + x2 = 0 + -1.727272727

Reorder the terms:
1.727272727 + -1.727272727 + 0.8181818182x + x2 = 0 + -1.727272727

Combine like terms: 1.727272727 + -1.727272727 = 0.000000000
0.000000000 + 0.8181818182x + x2 = 0 + -1.727272727
0.8181818182x + x2 = 0 + -1.727272727

Combine like terms: 0 + -1.727272727 = -1.727272727
0.8181818182x + x2 = -1.727272727

The x term is 0.8181818182x.  Take half its coefficient (0.4090909091).
Square it (0.1673553719) and add it to both sides.

Add '0.1673553719' to each side of the equation.
0.8181818182x + 0.1673553719 + x2 = -1.727272727 + 0.1673553719

Reorder the terms:
0.1673553719 + 0.8181818182x + x2 = -1.727272727 + 0.1673553719

Combine like terms: -1.727272727 + 0.1673553719 = -1.5599173551
0.1673553719 + 0.8181818182x + x2 = -1.5599173551

Factor a perfect square on the left side:
(x + 0.4090909091)(x + 0.4090909091) = -1.5599173551

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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