(3x+5)(3x+5)+49=0

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Solution for (3x+5)(3x+5)+49=0 equation: 


Simplifying
(3x + 5)(3x + 5) + 49 = 0

Reorder the terms:
(5 + 3x)(3x + 5) + 49 = 0

Reorder the terms:
(5 + 3x)(5 + 3x) + 49 = 0

Multiply (5 + 3x) * (5 + 3x)
(5(5 + 3x) + 3x * (5 + 3x)) + 49 = 0
((5 * 5 + 3x * 5) + 3x * (5 + 3x)) + 49 = 0
((25 + 15x) + 3x * (5 + 3x)) + 49 = 0
(25 + 15x + (5 * 3x + 3x * 3x)) + 49 = 0
(25 + 15x + (15x + 9x2)) + 49 = 0

Combine like terms: 15x + 15x = 30x
(25 + 30x + 9x2) + 49 = 0

Reorder the terms:
25 + 49 + 30x + 9x2 = 0

Combine like terms: 25 + 49 = 74
74 + 30x + 9x2 = 0

Solving
74 + 30x + 9x2 = 0

Solving for variable 'x'.

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

Divide each side by '9'.
8.222222222 + 3.333333333x + x2 = 0

Move the constant term to the right:

Add '-8.222222222' to each side of the equation.
8.222222222 + 3.333333333x + -8.222222222 + x2 = 0 + -8.222222222

Reorder the terms:
8.222222222 + -8.222222222 + 3.333333333x + x2 = 0 + -8.222222222

Combine like terms: 8.222222222 + -8.222222222 = 0.000000000
0.000000000 + 3.333333333x + x2 = 0 + -8.222222222
3.333333333x + x2 = 0 + -8.222222222

Combine like terms: 0 + -8.222222222 = -8.222222222
3.333333333x + x2 = -8.222222222

The x term is 3.333333333x.  Take half its coefficient (1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
3.333333333x + 2.777777779 + x2 = -8.222222222 + 2.777777779

Reorder the terms:
2.777777779 + 3.333333333x + x2 = -8.222222222 + 2.777777779

Combine like terms: -8.222222222 + 2.777777779 = -5.444444443
2.777777779 + 3.333333333x + x2 = -5.444444443

Factor a perfect square on the left side:
(x + 1.666666667)(x + 1.666666667) = -5.444444443

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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