y=(0.0025s^2+0.05s+1)(s^2+0.8s+30)

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Solution for y=(0.0025s^2+0.05s+1)(s^2+0.8s+30) equation: 


Simplifying
y = (0.0025s2 + 0.05s + 1)(s2 + 0.8s + 30)

Reorder the terms:
y = (1 + 0.05s + 0.0025s2)(s2 + 0.8s + 30)

Reorder the terms:
y = (1 + 0.05s + 0.0025s2)(30 + 0.8s + s2)

Multiply (1 + 0.05s + 0.0025s2) * (30 + 0.8s + s2)
y = (1(30 + 0.8s + s2) + 0.05s * (30 + 0.8s + s2) + 0.0025s2 * (30 + 0.8s + s2))
y = ((30 * 1 + 0.8s * 1 + s2 * 1) + 0.05s * (30 + 0.8s + s2) + 0.0025s2 * (30 + 0.8s + s2))
y = ((30 + 0.8s + 1s2) + 0.05s * (30 + 0.8s + s2) + 0.0025s2 * (30 + 0.8s + s2))
y = (30 + 0.8s + 1s2 + (30 * 0.05s + 0.8s * 0.05s + s2 * 0.05s) + 0.0025s2 * (30 + 0.8s + s2))
y = (30 + 0.8s + 1s2 + (1.5s + 0.04s2 + 0.05s3) + 0.0025s2 * (30 + 0.8s + s2))
y = (30 + 0.8s + 1s2 + 1.5s + 0.04s2 + 0.05s3 + (30 * 0.0025s2 + 0.8s * 0.0025s2 + s2 * 0.0025s2))
y = (30 + 0.8s + 1s2 + 1.5s + 0.04s2 + 0.05s3 + (0.075s2 + 0.002s3 + 0.0025s4))

Reorder the terms:
y = (30 + 0.8s + 1.5s + 1s2 + 0.04s2 + 0.075s2 + 0.05s3 + 0.002s3 + 0.0025s4)

Combine like terms: 0.8s + 1.5s = 2.3s
y = (30 + 2.3s + 1s2 + 0.04s2 + 0.075s2 + 0.05s3 + 0.002s3 + 0.0025s4)

Combine like terms: 1s2 + 0.04s2 = 1.04s2
y = (30 + 2.3s + 1.04s2 + 0.075s2 + 0.05s3 + 0.002s3 + 0.0025s4)

Combine like terms: 1.04s2 + 0.075s2 = 1.115s2
y = (30 + 2.3s + 1.115s2 + 0.05s3 + 0.002s3 + 0.0025s4)

Combine like terms: 0.05s3 + 0.002s3 = 0.052s3
y = (30 + 2.3s + 1.115s2 + 0.052s3 + 0.0025s4)

Solving
y = 30 + 2.3s + 1.115s2 + 0.052s3 + 0.0025s4

Solving for variable 'y'.

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

Simplifying
y = 30 + 2.3s + 1.115s2 + 0.052s3 + 0.0025s4

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