18s^3=50s^2

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Solution for 18s^3=50s^2 equation:


Simplifying
18s3 = 50s2

Solving
18s3 = 50s2

Solving for variable 's'.

Reorder the terms:
-50s2 + 18s3 = 50s2 + -50s2

Combine like terms: 50s2 + -50s2 = 0
-50s2 + 18s3 = 0

Factor out the Greatest Common Factor (GCF), '2s2'.
2s2(-25 + 9s) = 0

Ignore the factor 2.

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 '(-25 + 9s)' equal to zero and attempt to solve: Simplifying -25 + 9s = 0 Solving -25 + 9s = 0 Move all terms containing s to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 9s = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 9s = 0 + 25 9s = 0 + 25 Combine like terms: 0 + 25 = 25 9s = 25 Divide each side by '9'. s = 2.777777778 Simplifying s = 2.777777778

Solution

s = {0, 2.777777778}

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