36=m^2+5m

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Solution for 36=m^2+5m equation:


Simplifying
36 = m2 + 5m

Reorder the terms:
36 = 5m + m2

Solving
36 = 5m + m2

Solving for variable 'm'.

Reorder the terms:
36 + -5m + -1m2 = 5m + -5m + m2 + -1m2

Combine like terms: 5m + -5m = 0
36 + -5m + -1m2 = 0 + m2 + -1m2
36 + -5m + -1m2 = m2 + -1m2

Combine like terms: m2 + -1m2 = 0
36 + -5m + -1m2 = 0

Factor a trinomial.
(4 + -1m)(9 + m) = 0

Subproblem 1

Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 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 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4

Subproblem 2

Set the factor '(9 + m)' equal to zero and attempt to solve: Simplifying 9 + m = 0 Solving 9 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + m = 0 + -9 m = 0 + -9 Combine like terms: 0 + -9 = -9 m = -9 Simplifying m = -9

Solution

m = {4, -9}

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