(2s+1)(4s^2-2s+1)=0

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Solution for (2s+1)(4s^2-2s+1)=0 equation:


Simplifying
(2s + 1)(4s2 + -2s + 1) = 0

Reorder the terms:
(1 + 2s)(4s2 + -2s + 1) = 0

Reorder the terms:
(1 + 2s)(1 + -2s + 4s2) = 0

Multiply (1 + 2s) * (1 + -2s + 4s2)
(1(1 + -2s + 4s2) + 2s * (1 + -2s + 4s2)) = 0
((1 * 1 + -2s * 1 + 4s2 * 1) + 2s * (1 + -2s + 4s2)) = 0
((1 + -2s + 4s2) + 2s * (1 + -2s + 4s2)) = 0
(1 + -2s + 4s2 + (1 * 2s + -2s * 2s + 4s2 * 2s)) = 0
(1 + -2s + 4s2 + (2s + -4s2 + 8s3)) = 0

Reorder the terms:
(1 + -2s + 2s + 4s2 + -4s2 + 8s3) = 0

Combine like terms: -2s + 2s = 0
(1 + 0 + 4s2 + -4s2 + 8s3) = 0
(1 + 4s2 + -4s2 + 8s3) = 0

Combine like terms: 4s2 + -4s2 = 0
(1 + 0 + 8s3) = 0
(1 + 8s3) = 0

Solving
1 + 8s3 = 0

Solving for variable 's'.

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

Add '-1' to each side of the equation.
1 + -1 + 8s3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8s3 = 0 + -1
8s3 = 0 + -1

Combine like terms: 0 + -1 = -1
8s3 = -1

Divide each side by '8'.
s3 = -0.125

Simplifying
s3 = -0.125

Reorder the terms:
0.125 + s3 = -0.125 + 0.125

Combine like terms: -0.125 + 0.125 = 0.000
0.125 + s3 = 0.000

The solution to this equation could not be determined.

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