(4y+7)(2y+5x-3)=

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Solution for (4y+7)(2y+5x-3)= equation: 


Simplifying
(4y + 7)(2y + 5x + -3) = 0

Reorder the terms:
(7 + 4y)(2y + 5x + -3) = 0

Reorder the terms:
(7 + 4y)(-3 + 5x + 2y) = 0

Multiply (7 + 4y) * (-3 + 5x + 2y)
(7(-3 + 5x + 2y) + 4y * (-3 + 5x + 2y)) = 0
((-3 * 7 + 5x * 7 + 2y * 7) + 4y * (-3 + 5x + 2y)) = 0
((-21 + 35x + 14y) + 4y * (-3 + 5x + 2y)) = 0
(-21 + 35x + 14y + (-3 * 4y + 5x * 4y + 2y * 4y)) = 0

Reorder the terms:
(-21 + 35x + 14y + (20xy + -12y + 8y2)) = 0
(-21 + 35x + 14y + (20xy + -12y + 8y2)) = 0

Reorder the terms:
(-21 + 35x + 20xy + 14y + -12y + 8y2) = 0

Combine like terms: 14y + -12y = 2y
(-21 + 35x + 20xy + 2y + 8y2) = 0

Solving
-21 + 35x + 20xy + 2y + 8y2 = 0

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 35x + 20xy + 2y + 21 + 8y2 = 0 + 21

Reorder the terms:
-21 + 21 + 35x + 20xy + 2y + 8y2 = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 35x + 20xy + 2y + 8y2 = 0 + 21
35x + 20xy + 2y + 8y2 = 0 + 21

Combine like terms: 0 + 21 = 21
35x + 20xy + 2y + 8y2 = 21

Add '-2y' to each side of the equation.
35x + 20xy + 2y + -2y + 8y2 = 21 + -2y

Combine like terms: 2y + -2y = 0
35x + 20xy + 0 + 8y2 = 21 + -2y
35x + 20xy + 8y2 = 21 + -2y

Add '-8y2' to each side of the equation.
35x + 20xy + 8y2 + -8y2 = 21 + -2y + -8y2

Combine like terms: 8y2 + -8y2 = 0
35x + 20xy + 0 = 21 + -2y + -8y2
35x + 20xy = 21 + -2y + -8y2

Reorder the terms:
-21 + 35x + 20xy + 2y + 8y2 = 21 + -2y + -8y2 + -21 + 2y + 8y2

Reorder the terms:
-21 + 35x + 20xy + 2y + 8y2 = 21 + -21 + -2y + 2y + -8y2 + 8y2

Combine like terms: 21 + -21 = 0
-21 + 35x + 20xy + 2y + 8y2 = 0 + -2y + 2y + -8y2 + 8y2
-21 + 35x + 20xy + 2y + 8y2 = -2y + 2y + -8y2 + 8y2

Combine like terms: -2y + 2y = 0
-21 + 35x + 20xy + 2y + 8y2 = 0 + -8y2 + 8y2
-21 + 35x + 20xy + 2y + 8y2 = -8y2 + 8y2

Combine like terms: -8y2 + 8y2 = 0
-21 + 35x + 20xy + 2y + 8y2 = 0

The solution to this equation could not be determined.

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