(7xy-4)(3xy+9)=

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Solution for (7xy-4)(3xy+9)= equation:


Simplifying
(7xy + -4)(3xy + 9) = 0

Reorder the terms:
(-4 + 7xy)(3xy + 9) = 0

Reorder the terms:
(-4 + 7xy)(9 + 3xy) = 0

Multiply (-4 + 7xy) * (9 + 3xy)
(-4(9 + 3xy) + 7xy * (9 + 3xy)) = 0
((9 * -4 + 3xy * -4) + 7xy * (9 + 3xy)) = 0
((-36 + -12xy) + 7xy * (9 + 3xy)) = 0
(-36 + -12xy + (9 * 7xy + 3xy * 7xy)) = 0
(-36 + -12xy + (63xy + 21x2y2)) = 0

Combine like terms: -12xy + 63xy = 51xy
(-36 + 51xy + 21x2y2) = 0

Solving
-36 + 51xy + 21x2y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-12 + 17xy + 7x2y2) = 0

Factor a trinomial.
3((-3 + -1xy)(4 + -7xy)) = 0

Ignore the factor 3.

Subproblem 1

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

Subproblem 2

Set the factor '(4 + -7xy)' equal to zero and attempt to solve: Simplifying 4 + -7xy = 0 Solving 4 + -7xy = 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 + -7xy = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7xy = 0 + -4 -7xy = 0 + -4 Combine like terms: 0 + -4 = -4 -7xy = -4 Divide each side by '-7y'. x = 0.5714285714y-1 Simplifying x = 0.5714285714y-1

Solution

x = {-3y-1, 0.5714285714y-1}

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