y=(0.0025s^2+0.05s+1)(0.2s^3+0.13s^2+s)

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Solution for y=(0.0025s^2+0.05s+1)(0.2s^3+0.13s^2+s) equation:


Simplifying
y = (0.0025s2 + 0.05s + 1)(0.2s3 + 0.13s2 + s)

Reorder the terms:
y = (1 + 0.05s + 0.0025s2)(0.2s3 + 0.13s2 + s)

Reorder the terms:
y = (1 + 0.05s + 0.0025s2)(s + 0.13s2 + 0.2s3)

Multiply (1 + 0.05s + 0.0025s2) * (s + 0.13s2 + 0.2s3)
y = (1(s + 0.13s2 + 0.2s3) + 0.05s * (s + 0.13s2 + 0.2s3) + 0.0025s2 * (s + 0.13s2 + 0.2s3))
y = ((s * 1 + 0.13s2 * 1 + 0.2s3 * 1) + 0.05s * (s + 0.13s2 + 0.2s3) + 0.0025s2 * (s + 0.13s2 + 0.2s3))
y = ((1s + 0.13s2 + 0.2s3) + 0.05s * (s + 0.13s2 + 0.2s3) + 0.0025s2 * (s + 0.13s2 + 0.2s3))
y = (1s + 0.13s2 + 0.2s3 + (s * 0.05s + 0.13s2 * 0.05s + 0.2s3 * 0.05s) + 0.0025s2 * (s + 0.13s2 + 0.2s3))
y = (1s + 0.13s2 + 0.2s3 + (0.05s2 + 0.0065s3 + 0.01s4) + 0.0025s2 * (s + 0.13s2 + 0.2s3))
y = (1s + 0.13s2 + 0.2s3 + 0.05s2 + 0.0065s3 + 0.01s4 + (s * 0.0025s2 + 0.13s2 * 0.0025s2 + 0.2s3 * 0.0025s2))
y = (1s + 0.13s2 + 0.2s3 + 0.05s2 + 0.0065s3 + 0.01s4 + (0.0025s3 + 0.000325s4 + 0.0005s5))

Reorder the terms:
y = (1s + 0.13s2 + 0.05s2 + 0.2s3 + 0.0065s3 + 0.0025s3 + 0.01s4 + 0.000325s4 + 0.0005s5)

Combine like terms: 0.13s2 + 0.05s2 = 0.18s2
y = (1s + 0.18s2 + 0.2s3 + 0.0065s3 + 0.0025s3 + 0.01s4 + 0.000325s4 + 0.0005s5)

Combine like terms: 0.2s3 + 0.0065s3 = 0.2065s3
y = (1s + 0.18s2 + 0.2065s3 + 0.0025s3 + 0.01s4 + 0.000325s4 + 0.0005s5)

Combine like terms: 0.2065s3 + 0.0025s3 = 0.209s3
y = (1s + 0.18s2 + 0.209s3 + 0.01s4 + 0.000325s4 + 0.0005s5)

Combine like terms: 0.01s4 + 0.000325s4 = 0.010325s4
y = (1s + 0.18s2 + 0.209s3 + 0.010325s4 + 0.0005s5)

Solving
y = 1s + 0.18s2 + 0.209s3 + 0.010325s4 + 0.0005s5

Solving for variable 'y'.

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

Simplifying
y = 1s + 0.18s2 + 0.209s3 + 0.010325s4 + 0.0005s5

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