(79x-61y)(49x+5y)=

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Solution for (79x-61y)(49x+5y)= equation: 


Simplifying
(79x + -61y)(49x + 5y) = 0

Multiply (79x + -61y) * (49x + 5y)
(79x * (49x + 5y) + -61y * (49x + 5y)) = 0
((49x * 79x + 5y * 79x) + -61y * (49x + 5y)) = 0

Reorder the terms:
((395xy + 3871x2) + -61y * (49x + 5y)) = 0
((395xy + 3871x2) + -61y * (49x + 5y)) = 0
(395xy + 3871x2 + (49x * -61y + 5y * -61y)) = 0
(395xy + 3871x2 + (-2989xy + -305y2)) = 0

Reorder the terms:
(395xy + -2989xy + 3871x2 + -305y2) = 0

Combine like terms: 395xy + -2989xy = -2594xy
(-2594xy + 3871x2 + -305y2) = 0

Solving
-2594xy + 3871x2 + -305y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(79x + -61y)(49x + 5y) = 0


Subproblem 1
Set the factor '(79x + -61y)' equal to zero and attempt to solve:

Simplifying
79x + -61y = 0

Solving
79x + -61y = 0

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

Add '61y' to each side of the equation.
79x + -61y + 61y = 0 + 61y

Combine like terms: -61y + 61y = 0
79x + 0 = 0 + 61y
79x = 0 + 61y
Remove the zero:
79x = 61y

Divide each side by '79'.
x = 0.7721518987y

Simplifying
x = 0.7721518987y

Subproblem 2
Set the factor '(49x + 5y)' equal to zero and attempt to solve:

Simplifying
49x + 5y = 0

Solving
49x + 5y = 0

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

Add '-5y' to each side of the equation.
49x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
49x + 0 = 0 + -5y
49x = 0 + -5y
Remove the zero:
49x = -5y

Divide each side by '49'.
x = -0.1020408163y

Simplifying
x = -0.1020408163y
Solution
x = {0.7721518987y, -0.1020408163y}

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