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

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


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

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

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

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

Reorder the terms:
((24wx + 15w2) + x(5w + 8x)) = 0
((24wx + 15w2) + x(5w + 8x)) = 0
(24wx + 15w2 + (5w * x + 8x * x)) = 0
(24wx + 15w2 + (5wx + 8x2)) = 0

Reorder the terms:
(24wx + 5wx + 15w2 + 8x2) = 0

Combine like terms: 24wx + 5wx = 29wx
(29wx + 15w2 + 8x2) = 0

Solving
29wx + 15w2 + 8x2 = 0

Solving for variable 'w'.

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


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

Simplifying
3w + x = 0

Solving
3w + x = 0

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

Add '-1x' to each side of the equation.
3w + x + -1x = 0 + -1x

Combine like terms: x + -1x = 0
3w + 0 = 0 + -1x
3w = 0 + -1x
Remove the zero:
3w = -1x

Divide each side by '3'.
w = -0.3333333333x

Simplifying
w = -0.3333333333x

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 = {-0.3333333333x, -1.6x}

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