(7xy-3)(7xy-6)=

Solution for (7xy-3)(7xy-6)= equation:

Simplifying
(7xy + -3)(7xy + -6) = 0

Reorder the terms:
(-3 + 7xy)(7xy + -6) = 0

Reorder the terms:
(-3 + 7xy)(-6 + 7xy) = 0

Multiply (-3 + 7xy) * (-6 + 7xy)
(-3(-6 + 7xy) + 7xy * (-6 + 7xy)) = 0
((-6 * -3 + 7xy * -3) + 7xy * (-6 + 7xy)) = 0
((18 + -21xy) + 7xy * (-6 + 7xy)) = 0
(18 + -21xy + (-6 * 7xy + 7xy * 7xy)) = 0
(18 + -21xy + (-42xy + 49x2y2)) = 0

Combine like terms: -21xy + -42xy = -63xy
(18 + -63xy + 49x2y2) = 0

Solving
18 + -63xy + 49x2y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -7xy)(6 + -7xy) = 0

Subproblem 1
Set the factor '(3 + -7xy)' equal to zero and attempt to solve:

Simplifying
3 + -7xy = 0

Solving
3 + -7xy = 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 + -7xy = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7xy = 0 + -3
-7xy = 0 + -3

Combine like terms: 0 + -3 = -3
-7xy = -3

Divide each side by '-7y'.
x = 0.4285714286y-1

Simplifying
x = 0.4285714286y-1
Subproblem 2
Set the factor '(6 + -7xy)' equal to zero and attempt to solve:

Simplifying
6 + -7xy = 0

Solving
6 + -7xy = 0

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

Add '-6' to each side of the equation.
6 + -6 + -7xy = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7xy = 0 + -6
-7xy = 0 + -6

Combine like terms: 0 + -6 = -6
-7xy = -6

Divide each side by '-7y'.
x = 0.8571428571y-1

Simplifying
x = 0.8571428571y-1
Solution
x = {0.4285714286y-1, 0.8571428571y-1}