y^2(x+5)+5y(x+5)-14(x+5)=0

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Solution for y^2(x+5)+5y(x+5)-14(x+5)=0 equation: 


Simplifying
y2(x + 5) + 5y(x + 5) + -14(x + 5) = 0

Reorder the terms:
y2(5 + x) + 5y(x + 5) + -14(x + 5) = 0
(5 * y2 + x * y2) + 5y(x + 5) + -14(x + 5) = 0

Reorder the terms:
(xy2 + 5y2) + 5y(x + 5) + -14(x + 5) = 0
(xy2 + 5y2) + 5y(x + 5) + -14(x + 5) = 0

Reorder the terms:
xy2 + 5y2 + 5y(5 + x) + -14(x + 5) = 0
xy2 + 5y2 + (5 * 5y + x * 5y) + -14(x + 5) = 0

Reorder the terms:
xy2 + 5y2 + (5xy + 25y) + -14(x + 5) = 0
xy2 + 5y2 + (5xy + 25y) + -14(x + 5) = 0

Reorder the terms:
xy2 + 5y2 + 5xy + 25y + -14(5 + x) = 0
xy2 + 5y2 + 5xy + 25y + (5 * -14 + x * -14) = 0
xy2 + 5y2 + 5xy + 25y + (-70 + -14x) = 0

Reorder the terms:
-70 + -14x + 5xy + xy2 + 25y + 5y2 = 0

Solving
-70 + -14x + 5xy + xy2 + 25y + 5y2 = 0

Solving for variable 'x'.

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

Add '70' to each side of the equation.
-70 + -14x + 5xy + xy2 + 25y + 70 + 5y2 = 0 + 70

Reorder the terms:
-70 + 70 + -14x + 5xy + xy2 + 25y + 5y2 = 0 + 70

Combine like terms: -70 + 70 = 0
0 + -14x + 5xy + xy2 + 25y + 5y2 = 0 + 70
-14x + 5xy + xy2 + 25y + 5y2 = 0 + 70

Combine like terms: 0 + 70 = 70
-14x + 5xy + xy2 + 25y + 5y2 = 70

Add '-25y' to each side of the equation.
-14x + 5xy + xy2 + 25y + -25y + 5y2 = 70 + -25y

Combine like terms: 25y + -25y = 0
-14x + 5xy + xy2 + 0 + 5y2 = 70 + -25y
-14x + 5xy + xy2 + 5y2 = 70 + -25y

Add '-5y2' to each side of the equation.
-14x + 5xy + xy2 + 5y2 + -5y2 = 70 + -25y + -5y2

Combine like terms: 5y2 + -5y2 = 0
-14x + 5xy + xy2 + 0 = 70 + -25y + -5y2
-14x + 5xy + xy2 = 70 + -25y + -5y2

Reorder the terms:
-70 + -14x + 5xy + xy2 + 25y + 5y2 = 70 + -25y + -5y2 + -70 + 25y + 5y2

Reorder the terms:
-70 + -14x + 5xy + xy2 + 25y + 5y2 = 70 + -70 + -25y + 25y + -5y2 + 5y2

Combine like terms: 70 + -70 = 0
-70 + -14x + 5xy + xy2 + 25y + 5y2 = 0 + -25y + 25y + -5y2 + 5y2
-70 + -14x + 5xy + xy2 + 25y + 5y2 = -25y + 25y + -5y2 + 5y2

Combine like terms: -25y + 25y = 0
-70 + -14x + 5xy + xy2 + 25y + 5y2 = 0 + -5y2 + 5y2
-70 + -14x + 5xy + xy2 + 25y + 5y2 = -5y2 + 5y2

Combine like terms: -5y2 + 5y2 = 0
-70 + -14x + 5xy + xy2 + 25y + 5y2 = 0

The solution to this equation could not be determined.

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