(3x-5w)(7x-3w)=

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


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

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

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

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

Reorder the terms:
((-35wx + 15w2) + 3x * (-3w + 7x)) = 0
((-35wx + 15w2) + 3x * (-3w + 7x)) = 0
(-35wx + 15w2 + (-3w * 3x + 7x * 3x)) = 0
(-35wx + 15w2 + (-9wx + 21x2)) = 0

Reorder the terms:
(-35wx + -9wx + 15w2 + 21x2) = 0

Combine like terms: -35wx + -9wx = -44wx
(-44wx + 15w2 + 21x2) = 0

Solving
-44wx + 15w2 + 21x2 = 0

Solving for variable 'w'.

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


Subproblem 1
Set the factor '(3w + -7x)' equal to zero and attempt to solve:

Simplifying
3w + -7x = 0

Solving
3w + -7x = 0

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

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

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

Divide each side by '3'.
w = 2.333333333x

Simplifying
w = 2.333333333x

Subproblem 2
Set the factor '(5w + -3x)' equal to zero and attempt to solve:

Simplifying
5w + -3x = 0

Solving
5w + -3x = 0

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

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

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

Divide each side by '5'.
w = 0.6x

Simplifying
w = 0.6x
Solution
w = {2.333333333x, 0.6x}

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