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

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


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

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

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

Reorder the terms for easier multiplication:
x(2 + 4y)(-7 + 4y) = 0

Multiply (2 + 4y) * (-7 + 4y)
x(2(-7 + 4y) + 4y * (-7 + 4y)) = 0
x((-7 * 2 + 4y * 2) + 4y * (-7 + 4y)) = 0
x((-14 + 8y) + 4y * (-7 + 4y)) = 0
x(-14 + 8y + (-7 * 4y + 4y * 4y)) = 0
x(-14 + 8y + (-28y + 16y2)) = 0

Combine like terms: 8y + -28y = -20y
x(-14 + -20y + 16y2) = 0
(-14 * x + -20y * x + 16y2 * x) = 0
(-14x + -20xy + 16xy2) = 0

Solving
-14x + -20xy + 16xy2 = 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), '2x'.
2x(-7 + -10y + 8y2) = 0

Factor a trinomial.
2x((-1 + -2y)(7 + -4y)) = 0

Ignore the factor 2.

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 '(-1 + -2y)' equal to zero and attempt to solve:

Simplifying
-1 + -2y = 0

Solving
-1 + -2y = 0

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

Add '1' to each side of the equation.
-1 + 1 + -2y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2y = 0 + 1
-2y = 0 + 1

Combine like terms: 0 + 1 = 1
-2y = 1

Add '2y' to each side of the equation.
-2y + 2y = 1 + 2y

Combine like terms: -2y + 2y = 0
0 = 1 + 2y

Simplifying
0 = 1 + 2y

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

Simplifying
7 + -4y = 0

Solving
7 + -4y = 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 + -4y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4y = 0 + -7
-4y = 0 + -7

Combine like terms: 0 + -7 = -7
-4y = -7

Add '4y' to each side of the equation.
-4y + 4y = -7 + 4y

Combine like terms: -4y + 4y = 0
0 = -7 + 4y

Simplifying
0 = -7 + 4y

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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