(8x+4)(8x-4)=64x-163

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Solution for (8x+4)(8x-4)=64x-163 equation:


Simplifying
(8x + 4)(8x + -4) = 64x + -163

Reorder the terms:
(4 + 8x)(8x + -4) = 64x + -163

Reorder the terms:
(4 + 8x)(-4 + 8x) = 64x + -163

Multiply (4 + 8x) * (-4 + 8x)
(4(-4 + 8x) + 8x * (-4 + 8x)) = 64x + -163
((-4 * 4 + 8x * 4) + 8x * (-4 + 8x)) = 64x + -163
((-16 + 32x) + 8x * (-4 + 8x)) = 64x + -163
(-16 + 32x + (-4 * 8x + 8x * 8x)) = 64x + -163
(-16 + 32x + (-32x + 64x2)) = 64x + -163

Combine like terms: 32x + -32x = 0
(-16 + 0 + 64x2) = 64x + -163
(-16 + 64x2) = 64x + -163

Reorder the terms:
-16 + 64x2 = -163 + 64x

Solving
-16 + 64x2 = -163 + 64x

Solving for variable 'x'.

Reorder the terms:
-16 + 163 + -64x + 64x2 = -163 + 64x + 163 + -64x

Combine like terms: -16 + 163 = 147
147 + -64x + 64x2 = -163 + 64x + 163 + -64x

Reorder the terms:
147 + -64x + 64x2 = -163 + 163 + 64x + -64x

Combine like terms: -163 + 163 = 0
147 + -64x + 64x2 = 0 + 64x + -64x
147 + -64x + 64x2 = 64x + -64x

Combine like terms: 64x + -64x = 0
147 + -64x + 64x2 = 0

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

Divide each side by '64'.
2.296875 + -1x + x2 = 0

Move the constant term to the right:

Add '-2.296875' to each side of the equation.
2.296875 + -1x + -2.296875 + x2 = 0 + -2.296875

Reorder the terms:
2.296875 + -2.296875 + -1x + x2 = 0 + -2.296875

Combine like terms: 2.296875 + -2.296875 = 0.000000
0.000000 + -1x + x2 = 0 + -2.296875
-1x + x2 = 0 + -2.296875

Combine like terms: 0 + -2.296875 = -2.296875
-1x + x2 = -2.296875

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -2.296875 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -2.296875 + 0.25

Combine like terms: -2.296875 + 0.25 = -2.046875
0.25 + -1x + x2 = -2.046875

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -2.046875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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