81s^2+126s=-49

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Solution for 81s^2+126s=-49 equation:


Simplifying
81s2 + 126s = -49

Reorder the terms:
126s + 81s2 = -49

Solving
126s + 81s2 = -49

Solving for variable 's'.

Reorder the terms:
49 + 126s + 81s2 = -49 + 49

Combine like terms: -49 + 49 = 0
49 + 126s + 81s2 = 0

Factor a trinomial.
(7 + 9s)(7 + 9s) = 0

Subproblem 1

Set the factor '(7 + 9s)' equal to zero and attempt to solve: Simplifying 7 + 9s = 0 Solving 7 + 9s = 0 Move all terms containing s to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 9s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9s = 0 + -7 9s = 0 + -7 Combine like terms: 0 + -7 = -7 9s = -7 Divide each side by '9'. s = -0.7777777778 Simplifying s = -0.7777777778

Subproblem 2

Set the factor '(7 + 9s)' equal to zero and attempt to solve: Simplifying 7 + 9s = 0 Solving 7 + 9s = 0 Move all terms containing s to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 9s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9s = 0 + -7 9s = 0 + -7 Combine like terms: 0 + -7 = -7 9s = -7 Divide each side by '9'. s = -0.7777777778 Simplifying s = -0.7777777778

Solution

s = {-0.7777777778, -0.7777777778}

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