9s^2+3s-2=0

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Solution for 9s^2+3s-2=0 equation:


Simplifying
9s2 + 3s + -2 = 0

Reorder the terms:
-2 + 3s + 9s2 = 0

Solving
-2 + 3s + 9s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-2 + -3s)(1 + -3s) = 0

Subproblem 1

Set the factor '(-2 + -3s)' equal to zero and attempt to solve: Simplifying -2 + -3s = 0 Solving -2 + -3s = 0 Move all terms containing s to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3s = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3s = 0 + 2 -3s = 0 + 2 Combine like terms: 0 + 2 = 2 -3s = 2 Divide each side by '-3'. s = -0.6666666667 Simplifying s = -0.6666666667

Subproblem 2

Set the factor '(1 + -3s)' equal to zero and attempt to solve: Simplifying 1 + -3s = 0 Solving 1 + -3s = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3s = 0 + -1 -3s = 0 + -1 Combine like terms: 0 + -1 = -1 -3s = -1 Divide each side by '-3'. s = 0.3333333333 Simplifying s = 0.3333333333

Solution

s = {-0.6666666667, 0.3333333333}

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