5s^2=45s

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Solution for 5s^2=45s equation:


Simplifying
5s2 = 45s

Solving
5s2 = 45s

Solving for variable 's'.

Reorder the terms:
-45s + 5s2 = 45s + -45s

Combine like terms: 45s + -45s = 0
-45s + 5s2 = 0

Factor out the Greatest Common Factor (GCF), '5s'.
5s(-9 + s) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s = 0

Subproblem 2

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

Solution

s = {0, 9}

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