(x+4)(x+4)-(-8x-6)(x-2)=

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Solution for (x+4)(x+4)-(-8x-6)(x-2)= equation:


Simplifying
(x + 4)(x + 4) + -1(-8x + -6)(x + -2) = 0

Reorder the terms:
(4 + x)(x + 4) + -1(-8x + -6)(x + -2) = 0

Reorder the terms:
(4 + x)(4 + x) + -1(-8x + -6)(x + -2) = 0

Multiply (4 + x) * (4 + x)
(4(4 + x) + x(4 + x)) + -1(-8x + -6)(x + -2) = 0
((4 * 4 + x * 4) + x(4 + x)) + -1(-8x + -6)(x + -2) = 0
((16 + 4x) + x(4 + x)) + -1(-8x + -6)(x + -2) = 0
(16 + 4x + (4 * x + x * x)) + -1(-8x + -6)(x + -2) = 0
(16 + 4x + (4x + x2)) + -1(-8x + -6)(x + -2) = 0

Combine like terms: 4x + 4x = 8x
(16 + 8x + x2) + -1(-8x + -6)(x + -2) = 0

Reorder the terms:
16 + 8x + x2 + -1(-6 + -8x)(x + -2) = 0

Reorder the terms:
16 + 8x + x2 + -1(-6 + -8x)(-2 + x) = 0

Multiply (-6 + -8x) * (-2 + x)
16 + 8x + x2 + -1(-6(-2 + x) + -8x * (-2 + x)) = 0
16 + 8x + x2 + -1((-2 * -6 + x * -6) + -8x * (-2 + x)) = 0
16 + 8x + x2 + -1((12 + -6x) + -8x * (-2 + x)) = 0
16 + 8x + x2 + -1(12 + -6x + (-2 * -8x + x * -8x)) = 0
16 + 8x + x2 + -1(12 + -6x + (16x + -8x2)) = 0

Combine like terms: -6x + 16x = 10x
16 + 8x + x2 + -1(12 + 10x + -8x2) = 0
16 + 8x + x2 + (12 * -1 + 10x * -1 + -8x2 * -1) = 0
16 + 8x + x2 + (-12 + -10x + 8x2) = 0

Reorder the terms:
16 + -12 + 8x + -10x + x2 + 8x2 = 0

Combine like terms: 16 + -12 = 4
4 + 8x + -10x + x2 + 8x2 = 0

Combine like terms: 8x + -10x = -2x
4 + -2x + x2 + 8x2 = 0

Combine like terms: x2 + 8x2 = 9x2
4 + -2x + 9x2 = 0

Solving
4 + -2x + 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'.
0.4444444444 + -0.2222222222x + x2 = 0

Move the constant term to the right:

Add '-0.4444444444' to each side of the equation.
0.4444444444 + -0.2222222222x + -0.4444444444 + x2 = 0 + -0.4444444444

Reorder the terms:
0.4444444444 + -0.4444444444 + -0.2222222222x + x2 = 0 + -0.4444444444

Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000
0.0000000000 + -0.2222222222x + x2 = 0 + -0.4444444444
-0.2222222222x + x2 = 0 + -0.4444444444

Combine like terms: 0 + -0.4444444444 = -0.4444444444
-0.2222222222x + x2 = -0.4444444444

The x term is -0.2222222222x.  Take half its coefficient (-0.1111111111).
Square it (0.01234567901) and add it to both sides.

Add '0.01234567901' to each side of the equation.
-0.2222222222x + 0.01234567901 + x2 = -0.4444444444 + 0.01234567901

Reorder the terms:
0.01234567901 + -0.2222222222x + x2 = -0.4444444444 + 0.01234567901

Combine like terms: -0.4444444444 + 0.01234567901 = -0.43209876539
0.01234567901 + -0.2222222222x + x2 = -0.43209876539

Factor a perfect square on the left side:
(x + -0.1111111111)(x + -0.1111111111) = -0.43209876539

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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