8(8x+2)=(4x-3.5)x(4x-3.5)

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Solution for 8(8x+2)=(4x-3.5)x(4x-3.5) equation:


Simplifying
8(8x + 2) = (4x + -3.5) * x(4x + -3.5)

Reorder the terms:
8(2 + 8x) = (4x + -3.5) * x(4x + -3.5)
(2 * 8 + 8x * 8) = (4x + -3.5) * x(4x + -3.5)
(16 + 64x) = (4x + -3.5) * x(4x + -3.5)

Reorder the terms:
16 + 64x = (-3.5 + 4x) * x(4x + -3.5)

Reorder the terms:
16 + 64x = (-3.5 + 4x) * x(-3.5 + 4x)

Reorder the terms for easier multiplication:
16 + 64x = x(-3.5 + 4x)(-3.5 + 4x)

Multiply (-3.5 + 4x) * (-3.5 + 4x)
16 + 64x = x(-3.5(-3.5 + 4x) + 4x * (-3.5 + 4x))
16 + 64x = x((-3.5 * -3.5 + 4x * -3.5) + 4x * (-3.5 + 4x))
16 + 64x = x((12.25 + -14x) + 4x * (-3.5 + 4x))
16 + 64x = x(12.25 + -14x + (-3.5 * 4x + 4x * 4x))
16 + 64x = x(12.25 + -14x + (-14x + 16x2))

Combine like terms: -14x + -14x = -28x
16 + 64x = x(12.25 + -28x + 16x2)
16 + 64x = (12.25 * x + -28x * x + 16x2 * x)
16 + 64x = (12.25x + -28x2 + 16x3)

Solving
16 + 64x = 12.25x + -28x2 + 16x3

Solving for variable 'x'.

Combine like terms: 64x + -12.25x = 51.75x
16 + 51.75x + 28x2 + -16x3 = 12.25x + -28x2 + 16x3 + -12.25x + 28x2 + -16x3

Reorder the terms:
16 + 51.75x + 28x2 + -16x3 = 12.25x + -12.25x + -28x2 + 28x2 + 16x3 + -16x3

Combine like terms: 12.25x + -12.25x = 0.00
16 + 51.75x + 28x2 + -16x3 = 0.00 + -28x2 + 28x2 + 16x3 + -16x3
16 + 51.75x + 28x2 + -16x3 = -28x2 + 28x2 + 16x3 + -16x3

Combine like terms: -28x2 + 28x2 = 0
16 + 51.75x + 28x2 + -16x3 = 0 + 16x3 + -16x3
16 + 51.75x + 28x2 + -16x3 = 16x3 + -16x3

Combine like terms: 16x3 + -16x3 = 0
16 + 51.75x + 28x2 + -16x3 = 0

The solution to this equation could not be determined.

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