(3x-5w)(4x-7w)=

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Solution for (3x-5w)(4x-7w)= equation: 


Simplifying
(3x + -5w)(4x + -7w) = 0

Reorder the terms:
(-5w + 3x)(4x + -7w) = 0

Reorder the terms:
(-5w + 3x)(-7w + 4x) = 0

Multiply (-5w + 3x) * (-7w + 4x)
(-5w * (-7w + 4x) + 3x * (-7w + 4x)) = 0
((-7w * -5w + 4x * -5w) + 3x * (-7w + 4x)) = 0

Reorder the terms:
((-20wx + 35w2) + 3x * (-7w + 4x)) = 0
((-20wx + 35w2) + 3x * (-7w + 4x)) = 0
(-20wx + 35w2 + (-7w * 3x + 4x * 3x)) = 0
(-20wx + 35w2 + (-21wx + 12x2)) = 0

Reorder the terms:
(-20wx + -21wx + 35w2 + 12x2) = 0

Combine like terms: -20wx + -21wx = -41wx
(-41wx + 35w2 + 12x2) = 0

Solving
-41wx + 35w2 + 12x2 = 0

Solving for variable 'w'.

Factor a trinomial.
(5w + -3x)(7w + -4x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(7w + -4x)' equal to zero and attempt to solve:

Simplifying
7w + -4x = 0

Solving
7w + -4x = 0

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

Add '4x' to each side of the equation.
7w + -4x + 4x = 0 + 4x

Combine like terms: -4x + 4x = 0
7w + 0 = 0 + 4x
7w = 0 + 4x
Remove the zero:
7w = 4x

Divide each side by '7'.
w = 0.5714285714x

Simplifying
w = 0.5714285714x
Solution
w = {0.6x, 0.5714285714x}

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