(x^2+7x+y)(2x+5)=2x^3+19x^2+29x-15

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Solution for (x^2+7x+y)(2x+5)=2x^3+19x^2+29x-15 equation: 


Simplifying
(x2 + 7x + y)(2x + 5) = 2x3 + 19x2 + 29x + -15

Reorder the terms:
(7x + x2 + y)(2x + 5) = 2x3 + 19x2 + 29x + -15

Reorder the terms:
(7x + x2 + y)(5 + 2x) = 2x3 + 19x2 + 29x + -15

Multiply (7x + x2 + y) * (5 + 2x)
(7x * (5 + 2x) + x2(5 + 2x) + y(5 + 2x)) = 2x3 + 19x2 + 29x + -15
((5 * 7x + 2x * 7x) + x2(5 + 2x) + y(5 + 2x)) = 2x3 + 19x2 + 29x + -15
((35x + 14x2) + x2(5 + 2x) + y(5 + 2x)) = 2x3 + 19x2 + 29x + -15
(35x + 14x2 + (5 * x2 + 2x * x2) + y(5 + 2x)) = 2x3 + 19x2 + 29x + -15
(35x + 14x2 + (5x2 + 2x3) + y(5 + 2x)) = 2x3 + 19x2 + 29x + -15
(35x + 14x2 + 5x2 + 2x3 + (5 * y + 2x * y)) = 2x3 + 19x2 + 29x + -15

Reorder the terms:
(35x + 14x2 + 5x2 + 2x3 + (2xy + 5y)) = 2x3 + 19x2 + 29x + -15
(35x + 14x2 + 5x2 + 2x3 + (2xy + 5y)) = 2x3 + 19x2 + 29x + -15

Reorder the terms:
(35x + 2xy + 14x2 + 5x2 + 2x3 + 5y) = 2x3 + 19x2 + 29x + -15

Combine like terms: 14x2 + 5x2 = 19x2
(35x + 2xy + 19x2 + 2x3 + 5y) = 2x3 + 19x2 + 29x + -15

Reorder the terms:
35x + 2xy + 19x2 + 2x3 + 5y = -15 + 29x + 19x2 + 2x3

Add '-19x2' to each side of the equation.
35x + 2xy + 19x2 + 2x3 + -19x2 + 5y = -15 + 29x + 19x2 + -19x2 + 2x3

Reorder the terms:
35x + 2xy + 19x2 + -19x2 + 2x3 + 5y = -15 + 29x + 19x2 + -19x2 + 2x3

Combine like terms: 19x2 + -19x2 = 0
35x + 2xy + 0 + 2x3 + 5y = -15 + 29x + 19x2 + -19x2 + 2x3
35x + 2xy + 2x3 + 5y = -15 + 29x + 19x2 + -19x2 + 2x3

Combine like terms: 19x2 + -19x2 = 0
35x + 2xy + 2x3 + 5y = -15 + 29x + 0 + 2x3
35x + 2xy + 2x3 + 5y = -15 + 29x + 2x3

Add '-2x3' to each side of the equation.
35x + 2xy + 2x3 + -2x3 + 5y = -15 + 29x + 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
35x + 2xy + 0 + 5y = -15 + 29x + 2x3 + -2x3
35x + 2xy + 5y = -15 + 29x + 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
35x + 2xy + 5y = -15 + 29x + 0
35x + 2xy + 5y = -15 + 29x

Solving
35x + 2xy + 5y = -15 + 29x

Solving for variable 'x'.

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

Add '-29x' to each side of the equation.
35x + 2xy + -29x + 5y = -15 + 29x + -29x

Reorder the terms:
35x + -29x + 2xy + 5y = -15 + 29x + -29x

Combine like terms: 35x + -29x = 6x
6x + 2xy + 5y = -15 + 29x + -29x

Combine like terms: 29x + -29x = 0
6x + 2xy + 5y = -15 + 0
6x + 2xy + 5y = -15

Add '-5y' to each side of the equation.
6x + 2xy + 5y + -5y = -15 + -5y

Combine like terms: 5y + -5y = 0
6x + 2xy + 0 = -15 + -5y
6x + 2xy = -15 + -5y

Reorder the terms:
15 + 6x + 2xy + 5y = -15 + -5y + 15 + 5y

Reorder the terms:
15 + 6x + 2xy + 5y = -15 + 15 + -5y + 5y

Combine like terms: -15 + 15 = 0
15 + 6x + 2xy + 5y = 0 + -5y + 5y
15 + 6x + 2xy + 5y = -5y + 5y

Combine like terms: -5y + 5y = 0
15 + 6x + 2xy + 5y = 0

The solution to this equation could not be determined.

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