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

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


Simplifying
(3x + -5w)(6x + -1w) = 0

Reorder the terms:
(-5w + 3x)(6x + -1w) = 0

Reorder the terms:
(-5w + 3x)(-1w + 6x) = 0

Multiply (-5w + 3x) * (-1w + 6x)
(-5w * (-1w + 6x) + 3x * (-1w + 6x)) = 0
((-1w * -5w + 6x * -5w) + 3x * (-1w + 6x)) = 0

Reorder the terms:
((-30wx + 5w2) + 3x * (-1w + 6x)) = 0
((-30wx + 5w2) + 3x * (-1w + 6x)) = 0
(-30wx + 5w2 + (-1w * 3x + 6x * 3x)) = 0
(-30wx + 5w2 + (-3wx + 18x2)) = 0

Reorder the terms:
(-30wx + -3wx + 5w2 + 18x2) = 0

Combine like terms: -30wx + -3wx = -33wx
(-33wx + 5w2 + 18x2) = 0

Solving
-33wx + 5w2 + 18x2 = 0

Solving for variable 'w'.

Factor a trinomial.
(w + -6x)(5w + -3x) = 0


Subproblem 1
Set the factor '(w + -6x)' equal to zero and attempt to solve:

Simplifying
w + -6x = 0

Solving
w + -6x = 0

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

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

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

Simplifying
w = 6x

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 = {6x, 0.6x}

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