(3x+4)(3x+4)=-36

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Solution for (3x+4)(3x+4)=-36 equation: 


Simplifying
(3x + 4)(3x + 4) = -36

Reorder the terms:
(4 + 3x)(3x + 4) = -36

Reorder the terms:
(4 + 3x)(4 + 3x) = -36

Multiply (4 + 3x) * (4 + 3x)
(4(4 + 3x) + 3x * (4 + 3x)) = -36
((4 * 4 + 3x * 4) + 3x * (4 + 3x)) = -36
((16 + 12x) + 3x * (4 + 3x)) = -36
(16 + 12x + (4 * 3x + 3x * 3x)) = -36
(16 + 12x + (12x + 9x2)) = -36

Combine like terms: 12x + 12x = 24x
(16 + 24x + 9x2) = -36

Solving
16 + 24x + 9x2 = -36

Solving for variable 'x'.

Reorder the terms:
16 + 36 + 24x + 9x2 = -36 + 36

Combine like terms: 16 + 36 = 52
52 + 24x + 9x2 = -36 + 36

Combine like terms: -36 + 36 = 0
52 + 24x + 9x2 = 0

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

Divide each side by '9'.
5.777777778 + 2.666666667x + x2 = 0

Move the constant term to the right:

Add '-5.777777778' to each side of the equation.
5.777777778 + 2.666666667x + -5.777777778 + x2 = 0 + -5.777777778

Reorder the terms:
5.777777778 + -5.777777778 + 2.666666667x + x2 = 0 + -5.777777778

Combine like terms: 5.777777778 + -5.777777778 = 0.000000000
0.000000000 + 2.666666667x + x2 = 0 + -5.777777778
2.666666667x + x2 = 0 + -5.777777778

Combine like terms: 0 + -5.777777778 = -5.777777778
2.666666667x + x2 = -5.777777778

The x term is 2.666666667x.  Take half its coefficient (1.333333334).
Square it (1.777777780) and add it to both sides.

Add '1.777777780' to each side of the equation.
2.666666667x + 1.777777780 + x2 = -5.777777778 + 1.777777780

Reorder the terms:
1.777777780 + 2.666666667x + x2 = -5.777777778 + 1.777777780

Combine like terms: -5.777777778 + 1.777777780 = -3.999999998
1.777777780 + 2.666666667x + x2 = -3.999999998

Factor a perfect square on the left side:
(x + 1.333333334)(x + 1.333333334) = -3.999999998

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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