(y+7)x(y+8)=

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Solution for (y+7)x(y+8)= equation: 


Simplifying
(y + 7) * x(y + 8) = 0

Reorder the terms:
(7 + y) * x(y + 8) = 0

Reorder the terms:
(7 + y) * x(8 + y) = 0

Reorder the terms for easier multiplication:
x(7 + y)(8 + y) = 0

Multiply (7 + y) * (8 + y)
x(7(8 + y) + y(8 + y)) = 0
x((8 * 7 + y * 7) + y(8 + y)) = 0
x((56 + 7y) + y(8 + y)) = 0
x(56 + 7y + (8 * y + y * y)) = 0
x(56 + 7y + (8y + y2)) = 0

Combine like terms: 7y + 8y = 15y
x(56 + 15y + y2) = 0
(56 * x + 15y * x + y2 * x) = 0
(56x + 15xy + xy2) = 0

Solving
56x + 15xy + xy2 = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(56 + 15y + y2) = 0

Factor a trinomial.
x((8 + y)(7 + y)) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(8 + y)' equal to zero and attempt to solve:

Simplifying
8 + y = 0

Solving
8 + y = 0

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

Add '-8' to each side of the equation.
8 + -8 + y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + y = 0 + -8
y = 0 + -8

Combine like terms: 0 + -8 = -8
y = -8

Add '-1y' to each side of the equation.
y + -1y = -8 + -1y

Combine like terms: y + -1y = 0
0 = -8 + -1y

Simplifying
0 = -8 + -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(7 + y)' equal to zero and attempt to solve:

Simplifying
7 + y = 0

Solving
7 + y = 0

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

Add '-7' to each side of the equation.
7 + -7 + y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + y = 0 + -7
y = 0 + -7

Combine like terms: 0 + -7 = -7
y = -7

Add '-1y' to each side of the equation.
y + -1y = -7 + -1y

Combine like terms: y + -1y = 0
0 = -7 + -1y

Simplifying
0 = -7 + -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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