(5x-6)(4x+3w+2)=0

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Solution for (5x-6)(4x+3w+2)=0 equation: 


Simplifying
(5x + -6)(4x + 3w + 2) = 0

Reorder the terms:
(-6 + 5x)(4x + 3w + 2) = 0

Reorder the terms:
(-6 + 5x)(2 + 3w + 4x) = 0

Multiply (-6 + 5x) * (2 + 3w + 4x)
(-6(2 + 3w + 4x) + 5x * (2 + 3w + 4x)) = 0
((2 * -6 + 3w * -6 + 4x * -6) + 5x * (2 + 3w + 4x)) = 0
((-12 + -18w + -24x) + 5x * (2 + 3w + 4x)) = 0
(-12 + -18w + -24x + (2 * 5x + 3w * 5x + 4x * 5x)) = 0

Reorder the terms:
(-12 + -18w + -24x + (15wx + 10x + 20x2)) = 0
(-12 + -18w + -24x + (15wx + 10x + 20x2)) = 0

Reorder the terms:
(-12 + -18w + 15wx + -24x + 10x + 20x2) = 0

Combine like terms: -24x + 10x = -14x
(-12 + -18w + 15wx + -14x + 20x2) = 0

Solving
-12 + -18w + 15wx + -14x + 20x2 = 0

Solving for variable 'w'.

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

Add '12' to each side of the equation.
-12 + -18w + 15wx + -14x + 12 + 20x2 = 0 + 12

Reorder the terms:
-12 + 12 + -18w + 15wx + -14x + 20x2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -18w + 15wx + -14x + 20x2 = 0 + 12
-18w + 15wx + -14x + 20x2 = 0 + 12

Combine like terms: 0 + 12 = 12
-18w + 15wx + -14x + 20x2 = 12

Add '14x' to each side of the equation.
-18w + 15wx + -14x + 14x + 20x2 = 12 + 14x

Combine like terms: -14x + 14x = 0
-18w + 15wx + 0 + 20x2 = 12 + 14x
-18w + 15wx + 20x2 = 12 + 14x

Add '-20x2' to each side of the equation.
-18w + 15wx + 20x2 + -20x2 = 12 + 14x + -20x2

Combine like terms: 20x2 + -20x2 = 0
-18w + 15wx + 0 = 12 + 14x + -20x2
-18w + 15wx = 12 + 14x + -20x2

Reorder the terms:
-12 + -18w + 15wx + -14x + 20x2 = 12 + 14x + -20x2 + -12 + -14x + 20x2

Reorder the terms:
-12 + -18w + 15wx + -14x + 20x2 = 12 + -12 + 14x + -14x + -20x2 + 20x2

Combine like terms: 12 + -12 = 0
-12 + -18w + 15wx + -14x + 20x2 = 0 + 14x + -14x + -20x2 + 20x2
-12 + -18w + 15wx + -14x + 20x2 = 14x + -14x + -20x2 + 20x2

Combine like terms: 14x + -14x = 0
-12 + -18w + 15wx + -14x + 20x2 = 0 + -20x2 + 20x2
-12 + -18w + 15wx + -14x + 20x2 = -20x2 + 20x2

Combine like terms: -20x2 + 20x2 = 0
-12 + -18w + 15wx + -14x + 20x2 = 0

The solution to this equation could not be determined.

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