(3x-7m)(5x+3m)=

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Solution for (3x-7m)(5x+3m)= equation: 


Simplifying
(3x + -7m)(5x + 3m) = 0

Reorder the terms:
(-7m + 3x)(5x + 3m) = 0

Reorder the terms:
(-7m + 3x)(3m + 5x) = 0

Multiply (-7m + 3x) * (3m + 5x)
(-7m * (3m + 5x) + 3x * (3m + 5x)) = 0
((3m * -7m + 5x * -7m) + 3x * (3m + 5x)) = 0

Reorder the terms:
((-35mx + -21m2) + 3x * (3m + 5x)) = 0
((-35mx + -21m2) + 3x * (3m + 5x)) = 0
(-35mx + -21m2 + (3m * 3x + 5x * 3x)) = 0
(-35mx + -21m2 + (9mx + 15x2)) = 0

Reorder the terms:
(-35mx + 9mx + -21m2 + 15x2) = 0

Combine like terms: -35mx + 9mx = -26mx
(-26mx + -21m2 + 15x2) = 0

Solving
-26mx + -21m2 + 15x2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-3m + -5x)(7m + -3x) = 0


Subproblem 1
Set the factor '(-3m + -5x)' equal to zero and attempt to solve:

Simplifying
-3m + -5x = 0

Solving
-3m + -5x = 0

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

Add '5x' to each side of the equation.
-3m + -5x + 5x = 0 + 5x

Combine like terms: -5x + 5x = 0
-3m + 0 = 0 + 5x
-3m = 0 + 5x
Remove the zero:
-3m = 5x

Divide each side by '-3'.
m = -1.666666667x

Simplifying
m = -1.666666667x

Subproblem 2
Set the factor '(7m + -3x)' equal to zero and attempt to solve:

Simplifying
7m + -3x = 0

Solving
7m + -3x = 0

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

Add '3x' to each side of the equation.
7m + -3x + 3x = 0 + 3x

Combine like terms: -3x + 3x = 0
7m + 0 = 0 + 3x
7m = 0 + 3x
Remove the zero:
7m = 3x

Divide each side by '7'.
m = 0.4285714286x

Simplifying
m = 0.4285714286x
Solution
m = {-1.666666667x, 0.4285714286x}

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