(22m+14n)(9m+7n)=

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Solution for (22m+14n)(9m+7n)= equation: 


Simplifying
(22m + 14n)(9m + 7n) = 0

Multiply (22m + 14n) * (9m + 7n)
(22m * (9m + 7n) + 14n * (9m + 7n)) = 0
((9m * 22m + 7n * 22m) + 14n * (9m + 7n)) = 0

Reorder the terms:
((154mn + 198m2) + 14n * (9m + 7n)) = 0
((154mn + 198m2) + 14n * (9m + 7n)) = 0
(154mn + 198m2 + (9m * 14n + 7n * 14n)) = 0
(154mn + 198m2 + (126mn + 98n2)) = 0

Reorder the terms:
(154mn + 126mn + 198m2 + 98n2) = 0

Combine like terms: 154mn + 126mn = 280mn
(280mn + 198m2 + 98n2) = 0

Solving
280mn + 198m2 + 98n2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(140mn + 99m2 + 49n2) = 0

Factor a trinomial.
2((11m + 7n)(9m + 7n)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(11m + 7n)' equal to zero and attempt to solve:

Simplifying
11m + 7n = 0

Solving
11m + 7n = 0

Move all terms containing m to the left, all other terms to the right.

Add '-7n' to each side of the equation.
11m + 7n + -7n = 0 + -7n

Combine like terms: 7n + -7n = 0
11m + 0 = 0 + -7n
11m = 0 + -7n
Remove the zero:
11m = -7n

Divide each side by '11'.
m = -0.6363636364n

Simplifying
m = -0.6363636364n

Subproblem 2
Set the factor '(9m + 7n)' equal to zero and attempt to solve:

Simplifying
9m + 7n = 0

Solving
9m + 7n = 0

Move all terms containing m to the left, all other terms to the right.

Add '-7n' to each side of the equation.
9m + 7n + -7n = 0 + -7n

Combine like terms: 7n + -7n = 0
9m + 0 = 0 + -7n
9m = 0 + -7n
Remove the zero:
9m = -7n

Divide each side by '9'.
m = -0.7777777778n

Simplifying
m = -0.7777777778n
Solution
m = {-0.6363636364n, -0.7777777778n}

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