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

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


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

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

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

Multiply (-4 + 4w + 5x) * (-7w + x)
0 = (-4(-7w + x) + 4w * (-7w + x) + 5x * (-7w + x))
0 = ((-7w * -4 + x * -4) + 4w * (-7w + x) + 5x * (-7w + x))
0 = ((28w + -4x) + 4w * (-7w + x) + 5x * (-7w + x))
0 = (28w + -4x + (-7w * 4w + x * 4w) + 5x * (-7w + x))

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

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

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

Solving
0 = 28w + -31wx + -28w2 + -4x + 5x2

Solving for variable 'w'.
Remove the zero:
-28w + 31wx + 28w2 + 4x + -5x2 = 28w + -31wx + -28w2 + -4x + 5x2 + -28w + 31wx + 28w2 + 4x + -5x2

Reorder the terms:
-28w + 31wx + 28w2 + 4x + -5x2 = 28w + -28w + -31wx + 31wx + -28w2 + 28w2 + -4x + 4x + 5x2 + -5x2

Combine like terms: 28w + -28w = 0
-28w + 31wx + 28w2 + 4x + -5x2 = 0 + -31wx + 31wx + -28w2 + 28w2 + -4x + 4x + 5x2 + -5x2
-28w + 31wx + 28w2 + 4x + -5x2 = -31wx + 31wx + -28w2 + 28w2 + -4x + 4x + 5x2 + -5x2

Combine like terms: -31wx + 31wx = 0
-28w + 31wx + 28w2 + 4x + -5x2 = 0 + -28w2 + 28w2 + -4x + 4x + 5x2 + -5x2
-28w + 31wx + 28w2 + 4x + -5x2 = -28w2 + 28w2 + -4x + 4x + 5x2 + -5x2

Combine like terms: -28w2 + 28w2 = 0
-28w + 31wx + 28w2 + 4x + -5x2 = 0 + -4x + 4x + 5x2 + -5x2
-28w + 31wx + 28w2 + 4x + -5x2 = -4x + 4x + 5x2 + -5x2

Combine like terms: -4x + 4x = 0
-28w + 31wx + 28w2 + 4x + -5x2 = 0 + 5x2 + -5x2
-28w + 31wx + 28w2 + 4x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-28w + 31wx + 28w2 + 4x + -5x2 = 0

The solution to this equation could not be determined.

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