81s^2+36s=-6

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Solution for 81s^2+36s=-6 equation:


Simplifying
81s2 + 36s = -6

Reorder the terms:
36s + 81s2 = -6

Solving
36s + 81s2 = -6

Solving for variable 's'.

Reorder the terms:
6 + 36s + 81s2 = -6 + 6

Combine like terms: -6 + 6 = 0
6 + 36s + 81s2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(2 + 12s + 27s2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(2 + 12s + 27s2)' equal to zero and attempt to solve: Simplifying 2 + 12s + 27s2 = 0 Solving 2 + 12s + 27s2 = 0 Begin completing the square. Divide all terms by 27 the coefficient of the squared term: Divide each side by '27'. 0.07407407407 + 0.4444444444s + s2 = 0 Move the constant term to the right: Add '-0.07407407407' to each side of the equation. 0.07407407407 + 0.4444444444s + -0.07407407407 + s2 = 0 + -0.07407407407 Reorder the terms: 0.07407407407 + -0.07407407407 + 0.4444444444s + s2 = 0 + -0.07407407407 Combine like terms: 0.07407407407 + -0.07407407407 = 0.00000000000 0.00000000000 + 0.4444444444s + s2 = 0 + -0.07407407407 0.4444444444s + s2 = 0 + -0.07407407407 Combine like terms: 0 + -0.07407407407 = -0.07407407407 0.4444444444s + s2 = -0.07407407407 The s term is 0.4444444444s. Take half its coefficient (0.2222222222). Square it (0.04938271604) and add it to both sides. Add '0.04938271604' to each side of the equation. 0.4444444444s + 0.04938271604 + s2 = -0.07407407407 + 0.04938271604 Reorder the terms: 0.04938271604 + 0.4444444444s + s2 = -0.07407407407 + 0.04938271604 Combine like terms: -0.07407407407 + 0.04938271604 = -0.02469135803 0.04938271604 + 0.4444444444s + s2 = -0.02469135803 Factor a perfect square on the left side: (s + 0.2222222222)(s + 0.2222222222) = -0.02469135803 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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