(5xy-4)(3xy+7)=

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Solution for (5xy-4)(3xy+7)= equation: 


Simplifying
(5xy + -4)(3xy + 7) = 0

Reorder the terms:
(-4 + 5xy)(3xy + 7) = 0

Reorder the terms:
(-4 + 5xy)(7 + 3xy) = 0

Multiply (-4 + 5xy) * (7 + 3xy)
(-4(7 + 3xy) + 5xy * (7 + 3xy)) = 0
((7 * -4 + 3xy * -4) + 5xy * (7 + 3xy)) = 0
((-28 + -12xy) + 5xy * (7 + 3xy)) = 0
(-28 + -12xy + (7 * 5xy + 3xy * 5xy)) = 0
(-28 + -12xy + (35xy + 15x2y2)) = 0

Combine like terms: -12xy + 35xy = 23xy
(-28 + 23xy + 15x2y2) = 0

Solving
-28 + 23xy + 15x2y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -3xy)(4 + -5xy) = 0


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

Simplifying
-7 + -3xy = 0

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

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

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

Divide each side by '-3y'.
x = -2.333333333y-1

Simplifying
x = -2.333333333y-1

Subproblem 2
Set the factor '(4 + -5xy)' equal to zero and attempt to solve:

Simplifying
4 + -5xy = 0

Solving
4 + -5xy = 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 + -5xy = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5xy = 0 + -4
-5xy = 0 + -4

Combine like terms: 0 + -4 = -4
-5xy = -4

Divide each side by '-5y'.
x = 0.8y-1

Simplifying
x = 0.8y-1
Solution
x = {-2.333333333y-1, 0.8y-1}

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