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

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


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

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

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

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

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

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

Combine like terms: -16wx + -25wx = -41wx
(-41wx + 10w2 + 40x2) = 0

Solving
-41wx + 10w2 + 40x2 = 0

Solving for variable 'w'.

Factor a trinomial.
(2w + -5x)(5w + -8x) = 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 '(5w + -8x)' equal to zero and attempt to solve:

Simplifying
5w + -8x = 0

Solving
5w + -8x = 0

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

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

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

Divide each side by '5'.
w = 1.6x

Simplifying
w = 1.6x
Solution
w = {2.5x, 1.6x}

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