(3x+5)(3x+5)+25=0

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Solution for (3x+5)(3x+5)+25=0 equation: 


Simplifying
(3x + 5)(3x + 5) + 25 = 0

Reorder the terms:
(5 + 3x)(3x + 5) + 25 = 0

Reorder the terms:
(5 + 3x)(5 + 3x) + 25 = 0

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

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

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

Combine like terms: 25 + 25 = 50
50 + 30x + 9x2 = 0

Solving
50 + 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'.
5.555555556 + 3.333333333x + x2 = 0

Move the constant term to the right:

Add '-5.555555556' to each side of the equation.
5.555555556 + 3.333333333x + -5.555555556 + x2 = 0 + -5.555555556

Reorder the terms:
5.555555556 + -5.555555556 + 3.333333333x + x2 = 0 + -5.555555556

Combine like terms: 5.555555556 + -5.555555556 = 0.000000000
0.000000000 + 3.333333333x + x2 = 0 + -5.555555556
3.333333333x + x2 = 0 + -5.555555556

Combine like terms: 0 + -5.555555556 = -5.555555556
3.333333333x + x2 = -5.555555556

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 = -5.555555556 + 2.777777779

Reorder the terms:
2.777777779 + 3.333333333x + x2 = -5.555555556 + 2.777777779

Combine like terms: -5.555555556 + 2.777777779 = -2.777777777
2.777777779 + 3.333333333x + x2 = -2.777777777

Factor a perfect square on the left side:
(x + 1.666666667)(x + 1.666666667) = -2.777777777

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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