(4x-3w)(7x-3w)=

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Solution for (4x-3w)(7x-3w)= equation: 


Simplifying
(4x + -3w)(7x + -3w) = 0

Reorder the terms:
(-3w + 4x)(7x + -3w) = 0

Reorder the terms:
(-3w + 4x)(-3w + 7x) = 0

Multiply (-3w + 4x) * (-3w + 7x)
(-3w * (-3w + 7x) + 4x * (-3w + 7x)) = 0
((-3w * -3w + 7x * -3w) + 4x * (-3w + 7x)) = 0

Reorder the terms:
((-21wx + 9w2) + 4x * (-3w + 7x)) = 0
((-21wx + 9w2) + 4x * (-3w + 7x)) = 0
(-21wx + 9w2 + (-3w * 4x + 7x * 4x)) = 0
(-21wx + 9w2 + (-12wx + 28x2)) = 0

Reorder the terms:
(-21wx + -12wx + 9w2 + 28x2) = 0

Combine like terms: -21wx + -12wx = -33wx
(-33wx + 9w2 + 28x2) = 0

Solving
-33wx + 9w2 + 28x2 = 0

Solving for variable 'w'.

Factor a trinomial.
(3w + -7x)(3w + -4x) = 0


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

Simplifying
3w + -7x = 0

Solving
3w + -7x = 0

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

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

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

Divide each side by '3'.
w = 2.333333333x

Simplifying
w = 2.333333333x

Subproblem 2
Set the factor '(3w + -4x)' equal to zero and attempt to solve:

Simplifying
3w + -4x = 0

Solving
3w + -4x = 0

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

Add '4x' to each side of the equation.
3w + -4x + 4x = 0 + 4x

Combine like terms: -4x + 4x = 0
3w + 0 = 0 + 4x
3w = 0 + 4x
Remove the zero:
3w = 4x

Divide each side by '3'.
w = 1.333333333x

Simplifying
w = 1.333333333x
Solution
w = {2.333333333x, 1.333333333x}

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