m(2m+9)=5

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Solution for m(2m+9)=5 equation:


Simplifying
m(2m + 9) = 5

Reorder the terms:
m(9 + 2m) = 5
(9 * m + 2m * m) = 5
(9m + 2m2) = 5

Solving
9m + 2m2 = 5

Solving for variable 'm'.

Reorder the terms:
-5 + 9m + 2m2 = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + 9m + 2m2 = 0

Factor a trinomial.
(-5 + -1m)(1 + -2m) = 0

Subproblem 1

Set the factor '(-5 + -1m)' equal to zero and attempt to solve: Simplifying -5 + -1m = 0 Solving -5 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1m = 0 + 5 -1m = 0 + 5 Combine like terms: 0 + 5 = 5 -1m = 5 Divide each side by '-1'. m = -5 Simplifying m = -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 = {-5, 0.5}

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