(2s+6)*(2s+6)=

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Solution for (2s+6)*(2s+6)= equation:


Simplifying
(2s + 6)(2s + 6) = 0

Reorder the terms:
(6 + 2s)(2s + 6) = 0

Reorder the terms:
(6 + 2s)(6 + 2s) = 0

Multiply (6 + 2s) * (6 + 2s)
(6(6 + 2s) + 2s * (6 + 2s)) = 0
((6 * 6 + 2s * 6) + 2s * (6 + 2s)) = 0
((36 + 12s) + 2s * (6 + 2s)) = 0
(36 + 12s + (6 * 2s + 2s * 2s)) = 0
(36 + 12s + (12s + 4s2)) = 0

Combine like terms: 12s + 12s = 24s
(36 + 24s + 4s2) = 0

Solving
36 + 24s + 4s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '4'.
4(9 + 6s + s2) = 0

Factor a trinomial.
4((3 + s)(3 + s)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(3 + s)' equal to zero and attempt to solve: Simplifying 3 + s = 0 Solving 3 + s = 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 + s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + s = 0 + -3 s = 0 + -3 Combine like terms: 0 + -3 = -3 s = -3 Simplifying s = -3

Subproblem 2

Set the factor '(3 + s)' equal to zero and attempt to solve: Simplifying 3 + s = 0 Solving 3 + s = 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 + s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + s = 0 + -3 s = 0 + -3 Combine like terms: 0 + -3 = -3 s = -3 Simplifying s = -3

Solution

s = {-3, -3}

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