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

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


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

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

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

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

Reorder the terms:
((-16wx + 10w2) + 3x * (-5w + 8x)) = 0
((-16wx + 10w2) + 3x * (-5w + 8x)) = 0
(-16wx + 10w2 + (-5w * 3x + 8x * 3x)) = 0
(-16wx + 10w2 + (-15wx + 24x2)) = 0

Reorder the terms:
(-16wx + -15wx + 10w2 + 24x2) = 0

Combine like terms: -16wx + -15wx = -31wx
(-31wx + 10w2 + 24x2) = 0

Solving
-31wx + 10w2 + 24x2 = 0

Solving for variable 'w'.

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


Subproblem 1
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

Subproblem 2
Set the factor '(2w + -3x)' equal to zero and attempt to solve:

Simplifying
2w + -3x = 0

Solving
2w + -3x = 0

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

Add '3x' to each side of the equation.
2w + -3x + 3x = 0 + 3x

Combine like terms: -3x + 3x = 0
2w + 0 = 0 + 3x
2w = 0 + 3x
Remove the zero:
2w = 3x

Divide each side by '2'.
w = 1.5x

Simplifying
w = 1.5x
Solution
w = {1.6x, 1.5x}

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