(4x-5w)(2x+7w)=

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Solution for (4x-5w)(2x+7w)= equation: 


Simplifying
(4x + -5w)(2x + 7w) = 0

Reorder the terms:
(-5w + 4x)(2x + 7w) = 0

Reorder the terms:
(-5w + 4x)(7w + 2x) = 0

Multiply (-5w + 4x) * (7w + 2x)
(-5w * (7w + 2x) + 4x * (7w + 2x)) = 0
((7w * -5w + 2x * -5w) + 4x * (7w + 2x)) = 0

Reorder the terms:
((-10wx + -35w2) + 4x * (7w + 2x)) = 0
((-10wx + -35w2) + 4x * (7w + 2x)) = 0
(-10wx + -35w2 + (7w * 4x + 2x * 4x)) = 0
(-10wx + -35w2 + (28wx + 8x2)) = 0

Reorder the terms:
(-10wx + 28wx + -35w2 + 8x2) = 0

Combine like terms: -10wx + 28wx = 18wx
(18wx + -35w2 + 8x2) = 0

Solving
18wx + -35w2 + 8x2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-7w + -2x)(5w + -4x) = 0


Subproblem 1
Set the factor '(-7w + -2x)' equal to zero and attempt to solve:

Simplifying
-7w + -2x = 0

Solving
-7w + -2x = 0

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

Add '2x' to each side of the equation.
-7w + -2x + 2x = 0 + 2x

Combine like terms: -2x + 2x = 0
-7w + 0 = 0 + 2x
-7w = 0 + 2x
Remove the zero:
-7w = 2x

Divide each side by '-7'.
w = -0.2857142857x

Simplifying
w = -0.2857142857x

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

Simplifying
5w + -4x = 0

Solving
5w + -4x = 0

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

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

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

Divide each side by '5'.
w = 0.8x

Simplifying
w = 0.8x
Solution
w = {-0.2857142857x, 0.8x}

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