4m^2+4m+1=0

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Solution for 4m^2+4m+1=0 equation:


Simplifying
4m2 + 4m + 1 = 0

Reorder the terms:
1 + 4m + 4m2 = 0

Solving
1 + 4m + 4m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(1 + 2m)(1 + 2m) = 0

Subproblem 1

Set the factor '(1 + 2m)' equal to zero and attempt to solve: Simplifying 1 + 2m = 0 Solving 1 + 2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2m = 0 + -1 2m = 0 + -1 Combine like terms: 0 + -1 = -1 2m = -1 Divide each side by '2'. m = -0.5 Simplifying m = -0.5

Subproblem 2

Set the factor '(1 + 2m)' equal to zero and attempt to solve: Simplifying 1 + 2m = 0 Solving 1 + 2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2m = 0 + -1 2m = 0 + -1 Combine like terms: 0 + -1 = -1 2m = -1 Divide each side by '2'. m = -0.5 Simplifying m = -0.5

Solution

m = {-0.5, -0.5}

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