24x^2y+26xy+6y=0

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Solution for 24x^2y+26xy+6y=0 equation:


Simplifying
24x2y + 26xy + 6y = 0

Reorder the terms:
26xy + 24x2y + 6y = 0

Solving
26xy + 24x2y + 6y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2y'.
2y(13x + 12x2 + 3) = 0

Factor a trinomial.
2y((3x + 1)(4x + 3)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(3x + 1)' equal to zero and attempt to solve: Simplifying 3x + 1 = 0 Reorder the terms: 1 + 3x = 0 Solving 1 + 3x = 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 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333

Subproblem 3

Set the factor '(4x + 3)' equal to zero and attempt to solve: Simplifying 4x + 3 = 0 Reorder the terms: 3 + 4x = 0 Solving 3 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75

Solution

x = {-0.3333333333, -0.75}

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