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

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


Simplifying
(2x + 5w)(7x + -1w) = 0

Reorder the terms:
(5w + 2x)(7x + -1w) = 0

Reorder the terms:
(5w + 2x)(-1w + 7x) = 0

Multiply (5w + 2x) * (-1w + 7x)
(5w * (-1w + 7x) + 2x * (-1w + 7x)) = 0
((-1w * 5w + 7x * 5w) + 2x * (-1w + 7x)) = 0

Reorder the terms:
((35wx + -5w2) + 2x * (-1w + 7x)) = 0
((35wx + -5w2) + 2x * (-1w + 7x)) = 0
(35wx + -5w2 + (-1w * 2x + 7x * 2x)) = 0
(35wx + -5w2 + (-2wx + 14x2)) = 0

Reorder the terms:
(35wx + -2wx + -5w2 + 14x2) = 0

Combine like terms: 35wx + -2wx = 33wx
(33wx + -5w2 + 14x2) = 0

Solving
33wx + -5w2 + 14x2 = 0

Solving for variable 'w'.

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


Subproblem 1
Set the factor '(-5w + -2x)' equal to zero and attempt to solve:

Simplifying
-5w + -2x = 0

Solving
-5w + -2x = 0

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

Add '2x' to each side of the equation.
-5w + -2x + 2x = 0 + 2x

Combine like terms: -2x + 2x = 0
-5w + 0 = 0 + 2x
-5w = 0 + 2x
Remove the zero:
-5w = 2x

Divide each side by '-5'.
w = -0.4x

Simplifying
w = -0.4x

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

Simplifying
w + -7x = 0

Solving
w + -7x = 0

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

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

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

Simplifying
w = 7x
Solution
w = {-0.4x, 7x}

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