(5x+2w)(3x+8w)=

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Solution for (5x+2w)(3x+8w)= equation: 


Simplifying
(5x + 2w)(3x + 8w) = 0

Reorder the terms:
(2w + 5x)(3x + 8w) = 0

Reorder the terms:
(2w + 5x)(8w + 3x) = 0

Multiply (2w + 5x) * (8w + 3x)
(2w * (8w + 3x) + 5x * (8w + 3x)) = 0
((8w * 2w + 3x * 2w) + 5x * (8w + 3x)) = 0

Reorder the terms:
((6wx + 16w2) + 5x * (8w + 3x)) = 0
((6wx + 16w2) + 5x * (8w + 3x)) = 0
(6wx + 16w2 + (8w * 5x + 3x * 5x)) = 0
(6wx + 16w2 + (40wx + 15x2)) = 0

Reorder the terms:
(6wx + 40wx + 16w2 + 15x2) = 0

Combine like terms: 6wx + 40wx = 46wx
(46wx + 16w2 + 15x2) = 0

Solving
46wx + 16w2 + 15x2 = 0

Solving for variable 'w'.

Factor a trinomial.
(8w + 3x)(2w + 5x) = 0


Subproblem 1
Set the factor '(8w + 3x)' equal to zero and attempt to solve:

Simplifying
8w + 3x = 0

Solving
8w + 3x = 0

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

Add '-3x' to each side of the equation.
8w + 3x + -3x = 0 + -3x

Combine like terms: 3x + -3x = 0
8w + 0 = 0 + -3x
8w = 0 + -3x
Remove the zero:
8w = -3x

Divide each side by '8'.
w = -0.375x

Simplifying
w = -0.375x

Subproblem 2
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
Solution
w = {-0.375x, -2.5x}

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