9x^2+11x+18=10x+8

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Solution for 9x^2+11x+18=10x+8 equation:


Simplifying
9x2 + 11x + 18 = 10x + 8

Reorder the terms:
18 + 11x + 9x2 = 10x + 8

Reorder the terms:
18 + 11x + 9x2 = 8 + 10x

Solving
18 + 11x + 9x2 = 8 + 10x

Solving for variable 'x'.

Reorder the terms:
18 + -8 + 11x + -10x + 9x2 = 8 + 10x + -8 + -10x

Combine like terms: 18 + -8 = 10
10 + 11x + -10x + 9x2 = 8 + 10x + -8 + -10x

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

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

Combine like terms: 8 + -8 = 0
10 + 1x + 9x2 = 0 + 10x + -10x
10 + 1x + 9x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
10 + 1x + 9x2 = 0

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

Divide each side by '9'.
1.111111111 + 0.1111111111x + x2 = 0

Move the constant term to the right:

Add '-1.111111111' to each side of the equation.
1.111111111 + 0.1111111111x + -1.111111111 + x2 = 0 + -1.111111111

Reorder the terms:
1.111111111 + -1.111111111 + 0.1111111111x + x2 = 0 + -1.111111111

Combine like terms: 1.111111111 + -1.111111111 = 0.000000000
0.000000000 + 0.1111111111x + x2 = 0 + -1.111111111
0.1111111111x + x2 = 0 + -1.111111111

Combine like terms: 0 + -1.111111111 = -1.111111111
0.1111111111x + x2 = -1.111111111

The x term is 0.1111111111x.  Take half its coefficient (0.05555555555).
Square it (0.003086419752) and add it to both sides.

Add '0.003086419752' to each side of the equation.
0.1111111111x + 0.003086419752 + x2 = -1.111111111 + 0.003086419752

Reorder the terms:
0.003086419752 + 0.1111111111x + x2 = -1.111111111 + 0.003086419752

Combine like terms: -1.111111111 + 0.003086419752 = -1.108024691248
0.003086419752 + 0.1111111111x + x2 = -1.108024691248

Factor a perfect square on the left side:
(x + 0.05555555555)(x + 0.05555555555) = -1.108024691248

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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