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

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


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

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

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

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

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

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

Combine like terms: -14wx + -5wx = -19wx
(-19wx + 2w2 + 35x2) = 0

Solving
-19wx + 2w2 + 35x2 = 0

Solving for variable 'w'.

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


Subproblem 1
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

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

Simplifying
2w + -5x = 0

Solving
2w + -5x = 0

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

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

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

Divide each side by '2'.
w = 2.5x

Simplifying
w = 2.5x
Solution
w = {7x, 2.5x}

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