(5x-4w)(x+7w)=

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Solution for (5x-4w)(x+7w)= equation: 


Simplifying
(5x + -4w)(x + 7w) = 0

Reorder the terms:
(-4w + 5x)(x + 7w) = 0

Reorder the terms:
(-4w + 5x)(7w + x) = 0

Multiply (-4w + 5x) * (7w + x)
(-4w * (7w + x) + 5x * (7w + x)) = 0
((7w * -4w + x * -4w) + 5x * (7w + x)) = 0

Reorder the terms:
((-4wx + -28w2) + 5x * (7w + x)) = 0
((-4wx + -28w2) + 5x * (7w + x)) = 0
(-4wx + -28w2 + (7w * 5x + x * 5x)) = 0
(-4wx + -28w2 + (35wx + 5x2)) = 0

Reorder the terms:
(-4wx + 35wx + -28w2 + 5x2) = 0

Combine like terms: -4wx + 35wx = 31wx
(31wx + -28w2 + 5x2) = 0

Solving
31wx + -28w2 + 5x2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-7w + -1x)(4w + -5x) = 0


Subproblem 1
Set the factor '(-7w + -1x)' equal to zero and attempt to solve:

Simplifying
-7w + -1x = 0

Solving
-7w + -1x = 0

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

Add 'x' to each side of the equation.
-7w + -1x + x = 0 + x

Combine like terms: -1x + x = 0
-7w + 0 = 0 + x
-7w = 0 + x
Remove the zero:
-7w = x

Divide each side by '-7'.
w = -0.1428571429x

Simplifying
w = -0.1428571429x

Subproblem 2
Set the factor '(4w + -5x)' equal to zero and attempt to solve:

Simplifying
4w + -5x = 0

Solving
4w + -5x = 0

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

Add '5x' to each side of the equation.
4w + -5x + 5x = 0 + 5x

Combine like terms: -5x + 5x = 0
4w + 0 = 0 + 5x
4w = 0 + 5x
Remove the zero:
4w = 5x

Divide each side by '4'.
w = 1.25x

Simplifying
w = 1.25x
Solution
w = {-0.1428571429x, 1.25x}

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