(5m+1)(5m+1)=

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Solution for (5m+1)(5m+1)= equation:


Simplifying
(5m + 1)(5m + 1) = 0

Reorder the terms:
(1 + 5m)(5m + 1) = 0

Reorder the terms:
(1 + 5m)(1 + 5m) = 0

Multiply (1 + 5m) * (1 + 5m)
(1(1 + 5m) + 5m * (1 + 5m)) = 0
((1 * 1 + 5m * 1) + 5m * (1 + 5m)) = 0
((1 + 5m) + 5m * (1 + 5m)) = 0
(1 + 5m + (1 * 5m + 5m * 5m)) = 0
(1 + 5m + (5m + 25m2)) = 0

Combine like terms: 5m + 5m = 10m
(1 + 10m + 25m2) = 0

Solving
1 + 10m + 25m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(1 + 5m)(1 + 5m) = 0

Subproblem 1

Set the factor '(1 + 5m)' equal to zero and attempt to solve: Simplifying 1 + 5m = 0 Solving 1 + 5m = 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 + 5m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5m = 0 + -1 5m = 0 + -1 Combine like terms: 0 + -1 = -1 5m = -1 Divide each side by '5'. m = -0.2 Simplifying m = -0.2

Subproblem 2

Set the factor '(1 + 5m)' equal to zero and attempt to solve: Simplifying 1 + 5m = 0 Solving 1 + 5m = 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 + 5m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5m = 0 + -1 5m = 0 + -1 Combine like terms: 0 + -1 = -1 5m = -1 Divide each side by '5'. m = -0.2 Simplifying m = -0.2

Solution

m = {-0.2, -0.2}

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