(4x+3w)(4x+3w)=

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Solution for (4x+3w)(4x+3w)= equation: 


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

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

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

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

Reorder the terms:
((12wx + 9w2) + 4x * (3w + 4x)) = 0
((12wx + 9w2) + 4x * (3w + 4x)) = 0
(12wx + 9w2 + (3w * 4x + 4x * 4x)) = 0
(12wx + 9w2 + (12wx + 16x2)) = 0

Reorder the terms:
(12wx + 12wx + 9w2 + 16x2) = 0

Combine like terms: 12wx + 12wx = 24wx
(24wx + 9w2 + 16x2) = 0

Solving
24wx + 9w2 + 16x2 = 0

Solving for variable 'w'.

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


Subproblem 1
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

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 = {-1.333333333x, -1.333333333x}

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