6s^2=-9s

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Solution for 6s^2=-9s equation:


Simplifying
6s2 = -9s

Solving
6s2 = -9s

Solving for variable 's'.

Reorder the terms:
9s + 6s2 = -9s + 9s

Combine like terms: -9s + 9s = 0
9s + 6s2 = 0

Factor out the Greatest Common Factor (GCF), '3s'.
3s(3 + 2s) = 0

Ignore the factor 3.

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 '(3 + 2s)' equal to zero and attempt to solve: Simplifying 3 + 2s = 0 Solving 3 + 2s = 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 + 2s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2s = 0 + -3 2s = 0 + -3 Combine like terms: 0 + -3 = -3 2s = -3 Divide each side by '2'. s = -1.5 Simplifying s = -1.5

Solution

s = {0, -1.5}

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