4s^2-10s=0

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Solution for 4s^2-10s=0 equation:


Simplifying
4s2 + -10s = 0

Reorder the terms:
-10s + 4s2 = 0

Solving
-10s + 4s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2s'.
2s(-5 + 2s) = 0

Ignore the factor 2.

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 '(-5 + 2s)' equal to zero and attempt to solve: Simplifying -5 + 2s = 0 Solving -5 + 2s = 0 Move all terms containing s to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2s = 0 + 5 2s = 0 + 5 Combine like terms: 0 + 5 = 5 2s = 5 Divide each side by '2'. s = 2.5 Simplifying s = 2.5

Solution

s = {0, 2.5}

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