(7a+9y)(2a-y)=

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Solution for (7a+9y)(2a-y)= equation: 


Simplifying
(7a + 9y)(2a + -1y) = 0

Multiply (7a + 9y) * (2a + -1y)
(7a * (2a + -1y) + 9y * (2a + -1y)) = 0
((2a * 7a + -1y * 7a) + 9y * (2a + -1y)) = 0

Reorder the terms:
((-7ay + 14a2) + 9y * (2a + -1y)) = 0
((-7ay + 14a2) + 9y * (2a + -1y)) = 0
(-7ay + 14a2 + (2a * 9y + -1y * 9y)) = 0
(-7ay + 14a2 + (18ay + -9y2)) = 0

Reorder the terms:
(-7ay + 18ay + 14a2 + -9y2) = 0

Combine like terms: -7ay + 18ay = 11ay
(11ay + 14a2 + -9y2) = 0

Solving
11ay + 14a2 + -9y2 = 0

Solving for variable 'a'.

Factor a trinomial.
(2a + -1y)(7a + 9y) = 0


Subproblem 1
Set the factor '(2a + -1y)' equal to zero and attempt to solve:

Simplifying
2a + -1y = 0

Solving
2a + -1y = 0

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

Add 'y' to each side of the equation.
2a + -1y + y = 0 + y

Combine like terms: -1y + y = 0
2a + 0 = 0 + y
2a = 0 + y
Remove the zero:
2a = y

Divide each side by '2'.
a = 0.5y

Simplifying
a = 0.5y

Subproblem 2
Set the factor '(7a + 9y)' equal to zero and attempt to solve:

Simplifying
7a + 9y = 0

Solving
7a + 9y = 0

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

Add '-9y' to each side of the equation.
7a + 9y + -9y = 0 + -9y

Combine like terms: 9y + -9y = 0
7a + 0 = 0 + -9y
7a = 0 + -9y
Remove the zero:
7a = -9y

Divide each side by '7'.
a = -1.285714286y

Simplifying
a = -1.285714286y
Solution
a = {0.5y, -1.285714286y}

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