(4y-7w-6)(3y+4)=0

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Solution for (4y-7w-6)(3y+4)=0 equation: 


Simplifying
(4y + -7w + -6)(3y + 4) = 0

Reorder the terms:
(-6 + -7w + 4y)(3y + 4) = 0

Reorder the terms:
(-6 + -7w + 4y)(4 + 3y) = 0

Multiply (-6 + -7w + 4y) * (4 + 3y)
(-6(4 + 3y) + -7w * (4 + 3y) + 4y * (4 + 3y)) = 0
((4 * -6 + 3y * -6) + -7w * (4 + 3y) + 4y * (4 + 3y)) = 0
((-24 + -18y) + -7w * (4 + 3y) + 4y * (4 + 3y)) = 0
(-24 + -18y + (4 * -7w + 3y * -7w) + 4y * (4 + 3y)) = 0
(-24 + -18y + (-28w + -21wy) + 4y * (4 + 3y)) = 0
(-24 + -18y + -28w + -21wy + (4 * 4y + 3y * 4y)) = 0
(-24 + -18y + -28w + -21wy + (16y + 12y2)) = 0

Reorder the terms:
(-24 + -28w + -21wy + -18y + 16y + 12y2) = 0

Combine like terms: -18y + 16y = -2y
(-24 + -28w + -21wy + -2y + 12y2) = 0

Solving
-24 + -28w + -21wy + -2y + 12y2 = 0

Solving for variable 'w'.

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

Add '24' to each side of the equation.
-24 + -28w + -21wy + -2y + 24 + 12y2 = 0 + 24

Reorder the terms:
-24 + 24 + -28w + -21wy + -2y + 12y2 = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -28w + -21wy + -2y + 12y2 = 0 + 24
-28w + -21wy + -2y + 12y2 = 0 + 24

Combine like terms: 0 + 24 = 24
-28w + -21wy + -2y + 12y2 = 24

Add '2y' to each side of the equation.
-28w + -21wy + -2y + 2y + 12y2 = 24 + 2y

Combine like terms: -2y + 2y = 0
-28w + -21wy + 0 + 12y2 = 24 + 2y
-28w + -21wy + 12y2 = 24 + 2y

Add '-12y2' to each side of the equation.
-28w + -21wy + 12y2 + -12y2 = 24 + 2y + -12y2

Combine like terms: 12y2 + -12y2 = 0
-28w + -21wy + 0 = 24 + 2y + -12y2
-28w + -21wy = 24 + 2y + -12y2

Reorder the terms:
-24 + -28w + -21wy + -2y + 12y2 = 24 + 2y + -12y2 + -24 + -2y + 12y2

Reorder the terms:
-24 + -28w + -21wy + -2y + 12y2 = 24 + -24 + 2y + -2y + -12y2 + 12y2

Combine like terms: 24 + -24 = 0
-24 + -28w + -21wy + -2y + 12y2 = 0 + 2y + -2y + -12y2 + 12y2
-24 + -28w + -21wy + -2y + 12y2 = 2y + -2y + -12y2 + 12y2

Combine like terms: 2y + -2y = 0
-24 + -28w + -21wy + -2y + 12y2 = 0 + -12y2 + 12y2
-24 + -28w + -21wy + -2y + 12y2 = -12y2 + 12y2

Combine like terms: -12y2 + 12y2 = 0
-24 + -28w + -21wy + -2y + 12y2 = 0

The solution to this equation could not be determined.

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