(2x+4)(2x+4)=-15

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Solution for (2x+4)(2x+4)=-15 equation: 


Simplifying
(2x + 4)(2x + 4) = -15

Reorder the terms:
(4 + 2x)(2x + 4) = -15

Reorder the terms:
(4 + 2x)(4 + 2x) = -15

Multiply (4 + 2x) * (4 + 2x)
(4(4 + 2x) + 2x * (4 + 2x)) = -15
((4 * 4 + 2x * 4) + 2x * (4 + 2x)) = -15
((16 + 8x) + 2x * (4 + 2x)) = -15
(16 + 8x + (4 * 2x + 2x * 2x)) = -15
(16 + 8x + (8x + 4x2)) = -15

Combine like terms: 8x + 8x = 16x
(16 + 16x + 4x2) = -15

Solving
16 + 16x + 4x2 = -15

Solving for variable 'x'.

Reorder the terms:
16 + 15 + 16x + 4x2 = -15 + 15

Combine like terms: 16 + 15 = 31
31 + 16x + 4x2 = -15 + 15

Combine like terms: -15 + 15 = 0
31 + 16x + 4x2 = 0

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

Divide each side by '4'.
7.75 + 4x + x2 = 0

Move the constant term to the right:

Add '-7.75' to each side of the equation.
7.75 + 4x + -7.75 + x2 = 0 + -7.75

Reorder the terms:
7.75 + -7.75 + 4x + x2 = 0 + -7.75

Combine like terms: 7.75 + -7.75 = 0.00
0.00 + 4x + x2 = 0 + -7.75
4x + x2 = 0 + -7.75

Combine like terms: 0 + -7.75 = -7.75
4x + x2 = -7.75

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = -7.75 + 4

Reorder the terms:
4 + 4x + x2 = -7.75 + 4

Combine like terms: -7.75 + 4 = -3.75
4 + 4x + x2 = -3.75

Factor a perfect square on the left side:
(x + 2)(x + 2) = -3.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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