(3x-2w)(3x+7w)=

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Solution for (3x-2w)(3x+7w)= equation: 


Simplifying
(3x + -2w)(3x + 7w) = 0

Reorder the terms:
(-2w + 3x)(3x + 7w) = 0

Reorder the terms:
(-2w + 3x)(7w + 3x) = 0

Multiply (-2w + 3x) * (7w + 3x)
(-2w * (7w + 3x) + 3x * (7w + 3x)) = 0
((7w * -2w + 3x * -2w) + 3x * (7w + 3x)) = 0

Reorder the terms:
((-6wx + -14w2) + 3x * (7w + 3x)) = 0
((-6wx + -14w2) + 3x * (7w + 3x)) = 0
(-6wx + -14w2 + (7w * 3x + 3x * 3x)) = 0
(-6wx + -14w2 + (21wx + 9x2)) = 0

Reorder the terms:
(-6wx + 21wx + -14w2 + 9x2) = 0

Combine like terms: -6wx + 21wx = 15wx
(15wx + -14w2 + 9x2) = 0

Solving
15wx + -14w2 + 9x2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-7w + -3x)(2w + -3x) = 0


Subproblem 1
Set the factor '(-7w + -3x)' equal to zero and attempt to solve:

Simplifying
-7w + -3x = 0

Solving
-7w + -3x = 0

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

Add '3x' to each side of the equation.
-7w + -3x + 3x = 0 + 3x

Combine like terms: -3x + 3x = 0
-7w + 0 = 0 + 3x
-7w = 0 + 3x
Remove the zero:
-7w = 3x

Divide each side by '-7'.
w = -0.4285714286x

Simplifying
w = -0.4285714286x

Subproblem 2
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
Solution
w = {-0.4285714286x, 1.5x}

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