18x^2y+39xy-84y=

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Solution for 18x^2y+39xy-84y= equation:


Simplifying
18x2y + 39xy + -84y = 0

Reorder the terms:
39xy + 18x2y + -84y = 0

Solving
39xy + 18x2y + -84y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3y'.
3y(13x + 6x2 + -28) = 0

Factor a trinomial.
3y((3x + -4)(2x + 7)) = 0

Ignore the factor 3.

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 + -4)' equal to zero and attempt to solve: Simplifying 3x + -4 = 0 Reorder the terms: -4 + 3x = 0 Solving -4 + 3x = 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 + 3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 0 + 4 3x = 0 + 4 Combine like terms: 0 + 4 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333

Subproblem 3

Set the factor '(2x + 7)' equal to zero and attempt to solve: Simplifying 2x + 7 = 0 Reorder the terms: 7 + 2x = 0 Solving 7 + 2x = 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 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5

Solution

x = {1.333333333, -3.5}

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