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

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


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

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

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

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

Reorder the terms:
((25wx + -40w2) + 2x * (-8w + 5x)) = 0
((25wx + -40w2) + 2x * (-8w + 5x)) = 0
(25wx + -40w2 + (-8w * 2x + 5x * 2x)) = 0
(25wx + -40w2 + (-16wx + 10x2)) = 0

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

Combine like terms: 25wx + -16wx = 9wx
(9wx + -40w2 + 10x2) = 0

Solving
9wx + -40w2 + 10x2 = 0

Solving for variable 'w'.

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


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

Simplifying
-5w + -2x = 0

Solving
-5w + -2x = 0

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

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

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

Divide each side by '-5'.
w = -0.4x

Simplifying
w = -0.4x

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 = {-0.4x, 0.625x}

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