(6xy-4)(4xy+9)=

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Solution for (6xy-4)(4xy+9)= equation: 


Simplifying
(6xy + -4)(4xy + 9) = 0

Reorder the terms:
(-4 + 6xy)(4xy + 9) = 0

Reorder the terms:
(-4 + 6xy)(9 + 4xy) = 0

Multiply (-4 + 6xy) * (9 + 4xy)
(-4(9 + 4xy) + 6xy * (9 + 4xy)) = 0
((9 * -4 + 4xy * -4) + 6xy * (9 + 4xy)) = 0
((-36 + -16xy) + 6xy * (9 + 4xy)) = 0
(-36 + -16xy + (9 * 6xy + 4xy * 6xy)) = 0
(-36 + -16xy + (54xy + 24x2y2)) = 0

Combine like terms: -16xy + 54xy = 38xy
(-36 + 38xy + 24x2y2) = 0

Solving
-36 + 38xy + 24x2y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-18 + 19xy + 12x2y2) = 0

Factor a trinomial.
2((-9 + -4xy)(2 + -3xy)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-9 + -4xy)' equal to zero and attempt to solve:

Simplifying
-9 + -4xy = 0

Solving
-9 + -4xy = 0

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

Add '9' to each side of the equation.
-9 + 9 + -4xy = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -4xy = 0 + 9
-4xy = 0 + 9

Combine like terms: 0 + 9 = 9
-4xy = 9

Divide each side by '-4y'.
x = -2.25y-1

Simplifying
x = -2.25y-1

Subproblem 2
Set the factor '(2 + -3xy)' equal to zero and attempt to solve:

Simplifying
2 + -3xy = 0

Solving
2 + -3xy = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3xy = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3xy = 0 + -2
-3xy = 0 + -2

Combine like terms: 0 + -2 = -2
-3xy = -2

Divide each side by '-3y'.
x = 0.6666666667y-1

Simplifying
x = 0.6666666667y-1
Solution
x = {-2.25y-1, 0.6666666667y-1}

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