(y+7)x(y-4)=

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


Simplifying
(y + 7) * x(y + -4) = 0

Reorder the terms:
(7 + y) * x(y + -4) = 0

Reorder the terms:
(7 + y) * x(-4 + y) = 0

Reorder the terms for easier multiplication:
x(7 + y)(-4 + y) = 0

Multiply (7 + y) * (-4 + y)
x(7(-4 + y) + y(-4 + y)) = 0
x((-4 * 7 + y * 7) + y(-4 + y)) = 0
x((-28 + 7y) + y(-4 + y)) = 0
x(-28 + 7y + (-4 * y + y * y)) = 0
x(-28 + 7y + (-4y + y2)) = 0

Combine like terms: 7y + -4y = 3y
x(-28 + 3y + y2) = 0
(-28 * x + 3y * x + y2 * x) = 0
(-28x + 3xy + xy2) = 0

Solving
-28x + 3xy + 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(-28 + 3y + y2) = 0

Factor a trinomial.
x((-7 + -1y)(4 + -1y)) = 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 '(-7 + -1y)' equal to zero and attempt to solve:

Simplifying
-7 + -1y = 0

Solving
-7 + -1y = 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 + -1y = 0 + 7

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

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

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

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

Simplifying
0 = 7 + y

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 '(4 + -1y)' equal to zero and attempt to solve:

Simplifying
4 + -1y = 0

Solving
4 + -1y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1y = 0 + -4
-1y = 0 + -4

Combine like terms: 0 + -4 = -4
-1y = -4

Add 'y' to each side of the equation.
-1y + y = -4 + y

Combine like terms: -1y + y = 0
0 = -4 + y

Simplifying
0 = -4 + y

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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