(4x^2+16x+16)(x-2)=x^2-4

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Solution for (4x^2+16x+16)(x-2)=x^2-4 equation:


Simplifying
(4x2 + 16x + 16)(x + -2) = x2 + -4

Reorder the terms:
(16 + 16x + 4x2)(x + -2) = x2 + -4

Reorder the terms:
(16 + 16x + 4x2)(-2 + x) = x2 + -4

Multiply (16 + 16x + 4x2) * (-2 + x)
(16(-2 + x) + 16x * (-2 + x) + 4x2 * (-2 + x)) = x2 + -4
((-2 * 16 + x * 16) + 16x * (-2 + x) + 4x2 * (-2 + x)) = x2 + -4
((-32 + 16x) + 16x * (-2 + x) + 4x2 * (-2 + x)) = x2 + -4
(-32 + 16x + (-2 * 16x + x * 16x) + 4x2 * (-2 + x)) = x2 + -4
(-32 + 16x + (-32x + 16x2) + 4x2 * (-2 + x)) = x2 + -4
(-32 + 16x + -32x + 16x2 + (-2 * 4x2 + x * 4x2)) = x2 + -4
(-32 + 16x + -32x + 16x2 + (-8x2 + 4x3)) = x2 + -4

Combine like terms: 16x + -32x = -16x
(-32 + -16x + 16x2 + -8x2 + 4x3) = x2 + -4

Combine like terms: 16x2 + -8x2 = 8x2
(-32 + -16x + 8x2 + 4x3) = x2 + -4

Reorder the terms:
-32 + -16x + 8x2 + 4x3 = -4 + x2

Solving
-32 + -16x + 8x2 + 4x3 = -4 + x2

Solving for variable 'x'.

Reorder the terms:
-32 + 4 + -16x + 8x2 + -1x2 + 4x3 = -4 + x2 + 4 + -1x2

Combine like terms: -32 + 4 = -28
-28 + -16x + 8x2 + -1x2 + 4x3 = -4 + x2 + 4 + -1x2

Combine like terms: 8x2 + -1x2 = 7x2
-28 + -16x + 7x2 + 4x3 = -4 + x2 + 4 + -1x2

Reorder the terms:
-28 + -16x + 7x2 + 4x3 = -4 + 4 + x2 + -1x2

Combine like terms: -4 + 4 = 0
-28 + -16x + 7x2 + 4x3 = 0 + x2 + -1x2
-28 + -16x + 7x2 + 4x3 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-28 + -16x + 7x2 + 4x3 = 0

The solution to this equation could not be determined.

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