Simplifying
(2x + -7y ) = 0
Multiply
(2x + -7y) (x + y)
(2x (x + y) + -7y (x + y)) = 0
((x 2x + y 2x) + -7y (x + y)) = 0
Reorder the terms:
((2xy + 2x2) + -7y (x + y)) = 0
((2xy + 2x2) + -7y (x + y)) = 0
(2xy + 2x2 + (x -7y + y -7y)) = 0
(2xy + 2x2 + (-7xy + -7y2)) = 0
Reorder the terms:
(2xy + -7xy + 2x2 + -7y2) = 0
Combine like terms: 2xy + -7xy = -5xy
(-5xy + 2x2 + -7y2) = 0
Solving -5xy + 2x2 + -7y2 = 0
Solving for variable 'x'.
Factor a trinomial.
(2x + -7y)(x + y) = 0