m^2+8m+16=0

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Solution for m^2+8m+16=0 equation:


Simplifying
m2 + 8m + 16 = 0

Reorder the terms:
16 + 8m + m2 = 0

Solving
16 + 8m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(4 + m)(4 + m) = 0

Subproblem 1

Set the factor '(4 + m)' equal to zero and attempt to solve: Simplifying 4 + m = 0 Solving 4 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + m = 0 + -4 m = 0 + -4 Combine like terms: 0 + -4 = -4 m = -4 Simplifying m = -4

Subproblem 2

Set the factor '(4 + m)' equal to zero and attempt to solve: Simplifying 4 + m = 0 Solving 4 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + m = 0 + -4 m = 0 + -4 Combine like terms: 0 + -4 = -4 m = -4 Simplifying m = -4

Solution

m = {-4, -4}

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