3(3xy+5)(3xy-1)=

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Solution for 3(3xy+5)(3xy-1)= equation:


Simplifying
3(3xy + 5)(3xy + -1) = 0

Reorder the terms:
3(5 + 3xy)(3xy + -1) = 0

Reorder the terms:
3(5 + 3xy)(-1 + 3xy) = 0

Multiply (5 + 3xy) * (-1 + 3xy)
3(5(-1 + 3xy) + 3xy * (-1 + 3xy)) = 0
3((-1 * 5 + 3xy * 5) + 3xy * (-1 + 3xy)) = 0
3((-5 + 15xy) + 3xy * (-1 + 3xy)) = 0
3(-5 + 15xy + (-1 * 3xy + 3xy * 3xy)) = 0
3(-5 + 15xy + (-3xy + 9x2y2)) = 0

Combine like terms: 15xy + -3xy = 12xy
3(-5 + 12xy + 9x2y2) = 0
(-5 * 3 + 12xy * 3 + 9x2y2 * 3) = 0
(-15 + 36xy + 27x2y2) = 0

Solving
-15 + 36xy + 27x2y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-5 + 12xy + 9x2y2) = 0

Factor a trinomial.
3((-5 + -3xy)(1 + -3xy)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-5 + -3xy)' equal to zero and attempt to solve: Simplifying -5 + -3xy = 0 Solving -5 + -3xy = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3xy = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3xy = 0 + 5 -3xy = 0 + 5 Combine like terms: 0 + 5 = 5 -3xy = 5 Divide each side by '-3y'. x = -1.666666667y-1 Simplifying x = -1.666666667y-1

Subproblem 2

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

Solution

x = {-1.666666667y-1, 0.3333333333y-1}

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