(4y+5)(3y-2x-6)=

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


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

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

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

Multiply (5 + 4y) * (-6 + -2x + 3y)
(5(-6 + -2x + 3y) + 4y * (-6 + -2x + 3y)) = 0
((-6 * 5 + -2x * 5 + 3y * 5) + 4y * (-6 + -2x + 3y)) = 0
((-30 + -10x + 15y) + 4y * (-6 + -2x + 3y)) = 0
(-30 + -10x + 15y + (-6 * 4y + -2x * 4y + 3y * 4y)) = 0

Reorder the terms:
(-30 + -10x + 15y + (-8xy + -24y + 12y2)) = 0
(-30 + -10x + 15y + (-8xy + -24y + 12y2)) = 0

Reorder the terms:
(-30 + -10x + -8xy + 15y + -24y + 12y2) = 0

Combine like terms: 15y + -24y = -9y
(-30 + -10x + -8xy + -9y + 12y2) = 0

Solving
-30 + -10x + -8xy + -9y + 12y2 = 0

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + -10x + -8xy + -9y + 30 + 12y2 = 0 + 30

Reorder the terms:
-30 + 30 + -10x + -8xy + -9y + 12y2 = 0 + 30

Combine like terms: -30 + 30 = 0
0 + -10x + -8xy + -9y + 12y2 = 0 + 30
-10x + -8xy + -9y + 12y2 = 0 + 30

Combine like terms: 0 + 30 = 30
-10x + -8xy + -9y + 12y2 = 30

Add '9y' to each side of the equation.
-10x + -8xy + -9y + 9y + 12y2 = 30 + 9y

Combine like terms: -9y + 9y = 0
-10x + -8xy + 0 + 12y2 = 30 + 9y
-10x + -8xy + 12y2 = 30 + 9y

Add '-12y2' to each side of the equation.
-10x + -8xy + 12y2 + -12y2 = 30 + 9y + -12y2

Combine like terms: 12y2 + -12y2 = 0
-10x + -8xy + 0 = 30 + 9y + -12y2
-10x + -8xy = 30 + 9y + -12y2

Reorder the terms:
-30 + -10x + -8xy + -9y + 12y2 = 30 + 9y + -12y2 + -30 + -9y + 12y2

Reorder the terms:
-30 + -10x + -8xy + -9y + 12y2 = 30 + -30 + 9y + -9y + -12y2 + 12y2

Combine like terms: 30 + -30 = 0
-30 + -10x + -8xy + -9y + 12y2 = 0 + 9y + -9y + -12y2 + 12y2
-30 + -10x + -8xy + -9y + 12y2 = 9y + -9y + -12y2 + 12y2

Combine like terms: 9y + -9y = 0
-30 + -10x + -8xy + -9y + 12y2 = 0 + -12y2 + 12y2
-30 + -10x + -8xy + -9y + 12y2 = -12y2 + 12y2

Combine like terms: -12y2 + 12y2 = 0
-30 + -10x + -8xy + -9y + 12y2 = 0

The solution to this equation could not be determined.

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