y=(s^2+31.5s+250)(0.0025s^2+0.05s+1)

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Solution for y=(s^2+31.5s+250)(0.0025s^2+0.05s+1) equation: 


Simplifying
y = (s2 + 31.5s + 250)(0.0025s2 + 0.05s + 1)

Reorder the terms:
y = (250 + 31.5s + s2)(0.0025s2 + 0.05s + 1)

Reorder the terms:
y = (250 + 31.5s + s2)(1 + 0.05s + 0.0025s2)

Multiply (250 + 31.5s + s2) * (1 + 0.05s + 0.0025s2)
y = (250(1 + 0.05s + 0.0025s2) + 31.5s * (1 + 0.05s + 0.0025s2) + s2(1 + 0.05s + 0.0025s2))
y = ((1 * 250 + 0.05s * 250 + 0.0025s2 * 250) + 31.5s * (1 + 0.05s + 0.0025s2) + s2(1 + 0.05s + 0.0025s2))
y = ((250 + 12.5s + 0.625s2) + 31.5s * (1 + 0.05s + 0.0025s2) + s2(1 + 0.05s + 0.0025s2))
y = (250 + 12.5s + 0.625s2 + (1 * 31.5s + 0.05s * 31.5s + 0.0025s2 * 31.5s) + s2(1 + 0.05s + 0.0025s2))
y = (250 + 12.5s + 0.625s2 + (31.5s + 1.575s2 + 0.07875s3) + s2(1 + 0.05s + 0.0025s2))
y = (250 + 12.5s + 0.625s2 + 31.5s + 1.575s2 + 0.07875s3 + (1 * s2 + 0.05s * s2 + 0.0025s2 * s2))
y = (250 + 12.5s + 0.625s2 + 31.5s + 1.575s2 + 0.07875s3 + (1s2 + 0.05s3 + 0.0025s4))

Reorder the terms:
y = (250 + 12.5s + 31.5s + 0.625s2 + 1.575s2 + 1s2 + 0.07875s3 + 0.05s3 + 0.0025s4)

Combine like terms: 12.5s + 31.5s = 44s
y = (250 + 44s + 0.625s2 + 1.575s2 + 1s2 + 0.07875s3 + 0.05s3 + 0.0025s4)

Combine like terms: 0.625s2 + 1.575s2 = 2.2s2
y = (250 + 44s + 2.2s2 + 1s2 + 0.07875s3 + 0.05s3 + 0.0025s4)

Combine like terms: 2.2s2 + 1s2 = 3.2s2
y = (250 + 44s + 3.2s2 + 0.07875s3 + 0.05s3 + 0.0025s4)

Combine like terms: 0.07875s3 + 0.05s3 = 0.12875s3
y = (250 + 44s + 3.2s2 + 0.12875s3 + 0.0025s4)

Solving
y = 250 + 44s + 3.2s2 + 0.12875s3 + 0.0025s4

Solving for variable 'y'.

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

Simplifying
y = 250 + 44s + 3.2s2 + 0.12875s3 + 0.0025s4

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