(5x-3w)(7x-6w)=

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Solution for (5x-3w)(7x-6w)= equation: 


Simplifying
(5x + -3w)(7x + -6w) = 0

Reorder the terms:
(-3w + 5x)(7x + -6w) = 0

Reorder the terms:
(-3w + 5x)(-6w + 7x) = 0

Multiply (-3w + 5x) * (-6w + 7x)
(-3w * (-6w + 7x) + 5x * (-6w + 7x)) = 0
((-6w * -3w + 7x * -3w) + 5x * (-6w + 7x)) = 0

Reorder the terms:
((-21wx + 18w2) + 5x * (-6w + 7x)) = 0
((-21wx + 18w2) + 5x * (-6w + 7x)) = 0
(-21wx + 18w2 + (-6w * 5x + 7x * 5x)) = 0
(-21wx + 18w2 + (-30wx + 35x2)) = 0

Reorder the terms:
(-21wx + -30wx + 18w2 + 35x2) = 0

Combine like terms: -21wx + -30wx = -51wx
(-51wx + 18w2 + 35x2) = 0

Solving
-51wx + 18w2 + 35x2 = 0

Solving for variable 'w'.

Factor a trinomial.
(3w + -5x)(6w + -7x) = 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 '(6w + -7x)' equal to zero and attempt to solve:

Simplifying
6w + -7x = 0

Solving
6w + -7x = 0

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

Add '7x' to each side of the equation.
6w + -7x + 7x = 0 + 7x

Combine like terms: -7x + 7x = 0
6w + 0 = 0 + 7x
6w = 0 + 7x
Remove the zero:
6w = 7x

Divide each side by '6'.
w = 1.166666667x

Simplifying
w = 1.166666667x
Solution
w = {1.666666667x, 1.166666667x}

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