(7m+y)(5m-y)=

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Solution for (7m+y)(5m-y)= equation: 


Simplifying
(7m + y)(5m + -1y) = 0

Multiply (7m + y) * (5m + -1y)
(7m * (5m + -1y) + y(5m + -1y)) = 0
((5m * 7m + -1y * 7m) + y(5m + -1y)) = 0

Reorder the terms:
((-7my + 35m2) + y(5m + -1y)) = 0
((-7my + 35m2) + y(5m + -1y)) = 0
(-7my + 35m2 + (5m * y + -1y * y)) = 0
(-7my + 35m2 + (5my + -1y2)) = 0

Reorder the terms:
(-7my + 5my + 35m2 + -1y2) = 0

Combine like terms: -7my + 5my = -2my
(-2my + 35m2 + -1y2) = 0

Solving
-2my + 35m2 + -1y2 = 0

Solving for variable 'm'.

Factor a trinomial.
(5m + -1y)(7m + y) = 0


Subproblem 1
Set the factor '(5m + -1y)' equal to zero and attempt to solve:

Simplifying
5m + -1y = 0

Solving
5m + -1y = 0

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

Add 'y' to each side of the equation.
5m + -1y + y = 0 + y

Combine like terms: -1y + y = 0
5m + 0 = 0 + y
5m = 0 + y
Remove the zero:
5m = y

Divide each side by '5'.
m = 0.2y

Simplifying
m = 0.2y

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

Simplifying
7m + y = 0

Solving
7m + y = 0

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

Add '-1y' to each side of the equation.
7m + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
7m + 0 = 0 + -1y
7m = 0 + -1y
Remove the zero:
7m = -1y

Divide each side by '7'.
m = -0.1428571429y

Simplifying
m = -0.1428571429y
Solution
m = {0.2y, -0.1428571429y}

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