(30x+10)(30x+10)+81=0

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Solution for (30x+10)(30x+10)+81=0 equation: 


Simplifying
(30x + 10)(30x + 10) + 81 = 0

Reorder the terms:
(10 + 30x)(30x + 10) + 81 = 0

Reorder the terms:
(10 + 30x)(10 + 30x) + 81 = 0

Multiply (10 + 30x) * (10 + 30x)
(10(10 + 30x) + 30x * (10 + 30x)) + 81 = 0
((10 * 10 + 30x * 10) + 30x * (10 + 30x)) + 81 = 0
((100 + 300x) + 30x * (10 + 30x)) + 81 = 0
(100 + 300x + (10 * 30x + 30x * 30x)) + 81 = 0
(100 + 300x + (300x + 900x2)) + 81 = 0

Combine like terms: 300x + 300x = 600x
(100 + 600x + 900x2) + 81 = 0

Reorder the terms:
100 + 81 + 600x + 900x2 = 0

Combine like terms: 100 + 81 = 181
181 + 600x + 900x2 = 0

Solving
181 + 600x + 900x2 = 0

Solving for variable 'x'.

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

Divide each side by '900'.
0.2011111111 + 0.6666666667x + x2 = 0.00

Move the constant term to the right:

Add '-0.2011111111' to each side of the equation.
0.2011111111 + 0.6666666667x + -0.2011111111 + x2 = 0.00 + -0.2011111111

Reorder the terms:
0.2011111111 + -0.2011111111 + 0.6666666667x + x2 = 0.00 + -0.2011111111

Combine like terms: 0.2011111111 + -0.2011111111 = 0.0000000000
0.0000000000 + 0.6666666667x + x2 = 0.00 + -0.2011111111
0.6666666667x + x2 = 0.00 + -0.2011111111

Combine like terms: 0.00 + -0.2011111111 = -0.2011111111
0.6666666667x + x2 = -0.2011111111

The x term is 0.6666666667x.  Take half its coefficient (0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
0.6666666667x + 0.1111111112 + x2 = -0.2011111111 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667x + x2 = -0.2011111111 + 0.1111111112

Combine like terms: -0.2011111111 + 0.1111111112 = -0.0899999999
0.1111111112 + 0.6666666667x + x2 = -0.0899999999

Factor a perfect square on the left side:
(x + 0.3333333334)(x + 0.3333333334) = -0.0899999999

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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