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

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


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

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

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

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

Reorder the terms:
((-20wx + 35w2) + 4x * (-7w + 4x)) = 0
((-20wx + 35w2) + 4x * (-7w + 4x)) = 0
(-20wx + 35w2 + (-7w * 4x + 4x * 4x)) = 0
(-20wx + 35w2 + (-28wx + 16x2)) = 0

Reorder the terms:
(-20wx + -28wx + 35w2 + 16x2) = 0

Combine like terms: -20wx + -28wx = -48wx
(-48wx + 35w2 + 16x2) = 0

Solving
-48wx + 35w2 + 16x2 = 0

Solving for variable 'w'.

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


Subproblem 1
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

Subproblem 2
Set the factor '(7w + -4x)' equal to zero and attempt to solve:

Simplifying
7w + -4x = 0

Solving
7w + -4x = 0

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

Add '4x' to each side of the equation.
7w + -4x + 4x = 0 + 4x

Combine like terms: -4x + 4x = 0
7w + 0 = 0 + 4x
7w = 0 + 4x
Remove the zero:
7w = 4x

Divide each side by '7'.
w = 0.5714285714x

Simplifying
w = 0.5714285714x
Solution
w = {0.8x, 0.5714285714x}

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