(3x-2w)(x-6w)=

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Solution for (3x-2w)(x-6w)= equation: 


Simplifying
(3x + -2w)(x + -6w) = 0

Reorder the terms:
(-2w + 3x)(x + -6w) = 0

Reorder the terms:
(-2w + 3x)(-6w + x) = 0

Multiply (-2w + 3x) * (-6w + x)
(-2w * (-6w + x) + 3x * (-6w + x)) = 0
((-6w * -2w + x * -2w) + 3x * (-6w + x)) = 0

Reorder the terms:
((-2wx + 12w2) + 3x * (-6w + x)) = 0
((-2wx + 12w2) + 3x * (-6w + x)) = 0
(-2wx + 12w2 + (-6w * 3x + x * 3x)) = 0
(-2wx + 12w2 + (-18wx + 3x2)) = 0

Reorder the terms:
(-2wx + -18wx + 12w2 + 3x2) = 0

Combine like terms: -2wx + -18wx = -20wx
(-20wx + 12w2 + 3x2) = 0

Solving
-20wx + 12w2 + 3x2 = 0

Solving for variable 'w'.

Factor a trinomial.
(2w + -3x)(6w + -1x) = 0


Subproblem 1
Set the factor '(2w + -3x)' equal to zero and attempt to solve:

Simplifying
2w + -3x = 0

Solving
2w + -3x = 0

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

Add '3x' to each side of the equation.
2w + -3x + 3x = 0 + 3x

Combine like terms: -3x + 3x = 0
2w + 0 = 0 + 3x
2w = 0 + 3x
Remove the zero:
2w = 3x

Divide each side by '2'.
w = 1.5x

Simplifying
w = 1.5x

Subproblem 2
Set the factor '(6w + -1x)' equal to zero and attempt to solve:

Simplifying
6w + -1x = 0

Solving
6w + -1x = 0

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

Add 'x' to each side of the equation.
6w + -1x + x = 0 + x

Combine like terms: -1x + x = 0
6w + 0 = 0 + x
6w = 0 + x
Remove the zero:
6w = x

Divide each side by '6'.
w = 0.1666666667x

Simplifying
w = 0.1666666667x
Solution
w = {1.5x, 0.1666666667x}

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