(3x+7w-5)(5x+4)=

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Solution for (3x+7w-5)(5x+4)= equation: 


Simplifying
(3x + 7w + -5)(5x + 4) = 0

Reorder the terms:
(-5 + 7w + 3x)(5x + 4) = 0

Reorder the terms:
(-5 + 7w + 3x)(4 + 5x) = 0

Multiply (-5 + 7w + 3x) * (4 + 5x)
(-5(4 + 5x) + 7w * (4 + 5x) + 3x * (4 + 5x)) = 0
((4 * -5 + 5x * -5) + 7w * (4 + 5x) + 3x * (4 + 5x)) = 0
((-20 + -25x) + 7w * (4 + 5x) + 3x * (4 + 5x)) = 0
(-20 + -25x + (4 * 7w + 5x * 7w) + 3x * (4 + 5x)) = 0
(-20 + -25x + (28w + 35wx) + 3x * (4 + 5x)) = 0
(-20 + -25x + 28w + 35wx + (4 * 3x + 5x * 3x)) = 0
(-20 + -25x + 28w + 35wx + (12x + 15x2)) = 0

Reorder the terms:
(-20 + 28w + 35wx + -25x + 12x + 15x2) = 0

Combine like terms: -25x + 12x = -13x
(-20 + 28w + 35wx + -13x + 15x2) = 0

Solving
-20 + 28w + 35wx + -13x + 15x2 = 0

Solving for variable 'w'.

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

Add '20' to each side of the equation.
-20 + 28w + 35wx + -13x + 20 + 15x2 = 0 + 20

Reorder the terms:
-20 + 20 + 28w + 35wx + -13x + 15x2 = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 28w + 35wx + -13x + 15x2 = 0 + 20
28w + 35wx + -13x + 15x2 = 0 + 20

Combine like terms: 0 + 20 = 20
28w + 35wx + -13x + 15x2 = 20

Add '13x' to each side of the equation.
28w + 35wx + -13x + 13x + 15x2 = 20 + 13x

Combine like terms: -13x + 13x = 0
28w + 35wx + 0 + 15x2 = 20 + 13x
28w + 35wx + 15x2 = 20 + 13x

Add '-15x2' to each side of the equation.
28w + 35wx + 15x2 + -15x2 = 20 + 13x + -15x2

Combine like terms: 15x2 + -15x2 = 0
28w + 35wx + 0 = 20 + 13x + -15x2
28w + 35wx = 20 + 13x + -15x2

Reorder the terms:
-20 + 28w + 35wx + -13x + 15x2 = 20 + 13x + -15x2 + -20 + -13x + 15x2

Reorder the terms:
-20 + 28w + 35wx + -13x + 15x2 = 20 + -20 + 13x + -13x + -15x2 + 15x2

Combine like terms: 20 + -20 = 0
-20 + 28w + 35wx + -13x + 15x2 = 0 + 13x + -13x + -15x2 + 15x2
-20 + 28w + 35wx + -13x + 15x2 = 13x + -13x + -15x2 + 15x2

Combine like terms: 13x + -13x = 0
-20 + 28w + 35wx + -13x + 15x2 = 0 + -15x2 + 15x2
-20 + 28w + 35wx + -13x + 15x2 = -15x2 + 15x2

Combine like terms: -15x2 + 15x2 = 0
-20 + 28w + 35wx + -13x + 15x2 = 0

The solution to this equation could not be determined.

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