(5x+3w)(x-8w)=

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Solution for (5x+3w)(x-8w)= equation: 


Simplifying
(5x + 3w)(x + -8w) = 0

Reorder the terms:
(3w + 5x)(x + -8w) = 0

Reorder the terms:
(3w + 5x)(-8w + x) = 0

Multiply (3w + 5x) * (-8w + x)
(3w * (-8w + x) + 5x * (-8w + x)) = 0
((-8w * 3w + x * 3w) + 5x * (-8w + x)) = 0

Reorder the terms:
((3wx + -24w2) + 5x * (-8w + x)) = 0
((3wx + -24w2) + 5x * (-8w + x)) = 0
(3wx + -24w2 + (-8w * 5x + x * 5x)) = 0
(3wx + -24w2 + (-40wx + 5x2)) = 0

Reorder the terms:
(3wx + -40wx + -24w2 + 5x2) = 0

Combine like terms: 3wx + -40wx = -37wx
(-37wx + -24w2 + 5x2) = 0

Solving
-37wx + -24w2 + 5x2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-3w + -5x)(8w + -1x) = 0


Subproblem 1
Set the factor '(-3w + -5x)' equal to zero and attempt to solve:

Simplifying
-3w + -5x = 0

Solving
-3w + -5x = 0

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

Add '5x' to each side of the equation.
-3w + -5x + 5x = 0 + 5x

Combine like terms: -5x + 5x = 0
-3w + 0 = 0 + 5x
-3w = 0 + 5x
Remove the zero:
-3w = 5x

Divide each side by '-3'.
w = -1.666666667x

Simplifying
w = -1.666666667x

Subproblem 2
Set the factor '(8w + -1x)' equal to zero and attempt to solve:

Simplifying
8w + -1x = 0

Solving
8w + -1x = 0

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

Add 'x' to each side of the equation.
8w + -1x + x = 0 + x

Combine like terms: -1x + x = 0
8w + 0 = 0 + x
8w = 0 + x
Remove the zero:
8w = x

Divide each side by '8'.
w = 0.125x

Simplifying
w = 0.125x
Solution
w = {-1.666666667x, 0.125x}

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