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

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


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

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

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

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

Reorder the terms:
((-28wx + 16w2) + x(-4w + 7x)) = 0
((-28wx + 16w2) + x(-4w + 7x)) = 0
(-28wx + 16w2 + (-4w * x + 7x * x)) = 0
(-28wx + 16w2 + (-4wx + 7x2)) = 0

Reorder the terms:
(-28wx + -4wx + 16w2 + 7x2) = 0

Combine like terms: -28wx + -4wx = -32wx
(-32wx + 16w2 + 7x2) = 0

Solving
-32wx + 16w2 + 7x2 = 0

Solving for variable 'w'.

Factor a trinomial.
(4w + -7x)(4w + -1x) = 0


Subproblem 1
Set the factor '(4w + -7x)' equal to zero and attempt to solve:

Simplifying
4w + -7x = 0

Solving
4w + -7x = 0

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

Add '7x' to each side of the equation.
4w + -7x + 7x = 0 + 7x

Combine like terms: -7x + 7x = 0
4w + 0 = 0 + 7x
4w = 0 + 7x
Remove the zero:
4w = 7x

Divide each side by '4'.
w = 1.75x

Simplifying
w = 1.75x

Subproblem 2
Set the factor '(4w + -1x)' equal to zero and attempt to solve:

Simplifying
4w + -1x = 0

Solving
4w + -1x = 0

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

Add 'x' to each side of the equation.
4w + -1x + x = 0 + x

Combine like terms: -1x + x = 0
4w + 0 = 0 + x
4w = 0 + x
Remove the zero:
4w = x

Divide each side by '4'.
w = 0.25x

Simplifying
w = 0.25x
Solution
w = {1.75x, 0.25x}

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