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

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


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

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

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

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

Reorder the terms:
((-15wx + 21w2) + 5x * (-7w + 5x)) = 0
((-15wx + 21w2) + 5x * (-7w + 5x)) = 0
(-15wx + 21w2 + (-7w * 5x + 5x * 5x)) = 0
(-15wx + 21w2 + (-35wx + 25x2)) = 0

Reorder the terms:
(-15wx + -35wx + 21w2 + 25x2) = 0

Combine like terms: -15wx + -35wx = -50wx
(-50wx + 21w2 + 25x2) = 0

Solving
-50wx + 21w2 + 25x2 = 0

Solving for variable 'w'.

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


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

Simplifying
3w + -5x = 0

Solving
3w + -5x = 0

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

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

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

Divide each side by '3'.
w = 1.666666667x

Simplifying
w = 1.666666667x

Subproblem 2
Set the factor '(7w + -5x)' equal to zero and attempt to solve:

Simplifying
7w + -5x = 0

Solving
7w + -5x = 0

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

Add '5x' to each side of the equation.
7w + -5x + 5x = 0 + 5x

Combine like terms: -5x + 5x = 0
7w + 0 = 0 + 5x
7w = 0 + 5x
Remove the zero:
7w = 5x

Divide each side by '7'.
w = 0.7142857143x

Simplifying
w = 0.7142857143x
Solution
w = {1.666666667x, 0.7142857143x}

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