10s^3=30s^2

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Solution for 10s^3=30s^2 equation:


Simplifying
10s3 = 30s2

Solving
10s3 = 30s2

Solving for variable 's'.

Reorder the terms:
-30s2 + 10s3 = 30s2 + -30s2

Combine like terms: 30s2 + -30s2 = 0
-30s2 + 10s3 = 0

Factor out the Greatest Common Factor (GCF), '10s2'.
10s2(-3 + s) = 0

Ignore the factor 10.

Subproblem 1

Set the factor 's2' equal to zero and attempt to solve: Simplifying s2 = 0 Solving s2 = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s2 = 0 Take the square root of each side: s = {0}

Subproblem 2

Set the factor '(-3 + s)' equal to zero and attempt to solve: Simplifying -3 + s = 0 Solving -3 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + s = 0 + 3 s = 0 + 3 Combine like terms: 0 + 3 = 3 s = 3 Simplifying s = 3

Solution

s = {0, 3}

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