y=(4k^2-8k+2)(2k^2+5k+7)

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Solution for y=(4k^2-8k+2)(2k^2+5k+7) equation:


Simplifying
y = (4k2 + -8k + 2)(2k2 + 5k + 7)

Reorder the terms:
y = (2 + -8k + 4k2)(2k2 + 5k + 7)

Reorder the terms:
y = (2 + -8k + 4k2)(7 + 5k + 2k2)

Multiply (2 + -8k + 4k2) * (7 + 5k + 2k2)
y = (2(7 + 5k + 2k2) + -8k * (7 + 5k + 2k2) + 4k2 * (7 + 5k + 2k2))
y = ((7 * 2 + 5k * 2 + 2k2 * 2) + -8k * (7 + 5k + 2k2) + 4k2 * (7 + 5k + 2k2))
y = ((14 + 10k + 4k2) + -8k * (7 + 5k + 2k2) + 4k2 * (7 + 5k + 2k2))
y = (14 + 10k + 4k2 + (7 * -8k + 5k * -8k + 2k2 * -8k) + 4k2 * (7 + 5k + 2k2))
y = (14 + 10k + 4k2 + (-56k + -40k2 + -16k3) + 4k2 * (7 + 5k + 2k2))
y = (14 + 10k + 4k2 + -56k + -40k2 + -16k3 + (7 * 4k2 + 5k * 4k2 + 2k2 * 4k2))
y = (14 + 10k + 4k2 + -56k + -40k2 + -16k3 + (28k2 + 20k3 + 8k4))

Reorder the terms:
y = (14 + 10k + -56k + 4k2 + -40k2 + 28k2 + -16k3 + 20k3 + 8k4)

Combine like terms: 10k + -56k = -46k
y = (14 + -46k + 4k2 + -40k2 + 28k2 + -16k3 + 20k3 + 8k4)

Combine like terms: 4k2 + -40k2 = -36k2
y = (14 + -46k + -36k2 + 28k2 + -16k3 + 20k3 + 8k4)

Combine like terms: -36k2 + 28k2 = -8k2
y = (14 + -46k + -8k2 + -16k3 + 20k3 + 8k4)

Combine like terms: -16k3 + 20k3 = 4k3
y = (14 + -46k + -8k2 + 4k3 + 8k4)

Solving
y = 14 + -46k + -8k2 + 4k3 + 8k4

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Simplifying
y = 14 + -46k + -8k2 + 4k3 + 8k4

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