(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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