(5x-2w)(5x-8w)=

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Solution for (5x-2w)(5x-8w)= equation: 


Simplifying
(5x + -2w)(5x + -8w) = 0

Reorder the terms:
(-2w + 5x)(5x + -8w) = 0

Reorder the terms:
(-2w + 5x)(-8w + 5x) = 0

Multiply (-2w + 5x) * (-8w + 5x)
(-2w * (-8w + 5x) + 5x * (-8w + 5x)) = 0
((-8w * -2w + 5x * -2w) + 5x * (-8w + 5x)) = 0

Reorder the terms:
((-10wx + 16w2) + 5x * (-8w + 5x)) = 0
((-10wx + 16w2) + 5x * (-8w + 5x)) = 0
(-10wx + 16w2 + (-8w * 5x + 5x * 5x)) = 0
(-10wx + 16w2 + (-40wx + 25x2)) = 0

Reorder the terms:
(-10wx + -40wx + 16w2 + 25x2) = 0

Combine like terms: -10wx + -40wx = -50wx
(-50wx + 16w2 + 25x2) = 0

Solving
-50wx + 16w2 + 25x2 = 0

Solving for variable 'w'.

Factor a trinomial.
(2w + -5x)(8w + -5x) = 0


Subproblem 1
Set the factor '(2w + -5x)' equal to zero and attempt to solve:

Simplifying
2w + -5x = 0

Solving
2w + -5x = 0

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

Add '5x' to each side of the equation.
2w + -5x + 5x = 0 + 5x

Combine like terms: -5x + 5x = 0
2w + 0 = 0 + 5x
2w = 0 + 5x
Remove the zero:
2w = 5x

Divide each side by '2'.
w = 2.5x

Simplifying
w = 2.5x

Subproblem 2
Set the factor '(8w + -5x)' equal to zero and attempt to solve:

Simplifying
8w + -5x = 0

Solving
8w + -5x = 0

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

Add '5x' to each side of the equation.
8w + -5x + 5x = 0 + 5x

Combine like terms: -5x + 5x = 0
8w + 0 = 0 + 5x
8w = 0 + 5x
Remove the zero:
8w = 5x

Divide each side by '8'.
w = 0.625x

Simplifying
w = 0.625x
Solution
w = {2.5x, 0.625x}

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