(7y+18)(9y+7)=0

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Solution for (7y+18)(9y+7)=0 equation: 


Simplifying
(7y + 18)(9y + 7) = 0

Reorder the terms:
(18 + 7y)(9y + 7) = 0

Reorder the terms:
(18 + 7y)(7 + 9y) = 0

Multiply (18 + 7y) * (7 + 9y)
(18(7 + 9y) + 7y * (7 + 9y)) = 0
((7 * 18 + 9y * 18) + 7y * (7 + 9y)) = 0
((126 + 162y) + 7y * (7 + 9y)) = 0
(126 + 162y + (7 * 7y + 9y * 7y)) = 0
(126 + 162y + (49y + 63y2)) = 0

Combine like terms: 162y + 49y = 211y
(126 + 211y + 63y2) = 0

Solving
126 + 211y + 63y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(18 + 7y)(7 + 9y) = 0


Subproblem 1
Set the factor '(18 + 7y)' equal to zero and attempt to solve:

Simplifying
18 + 7y = 0

Solving
18 + 7y = 0

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

Add '-18' to each side of the equation.
18 + -18 + 7y = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 7y = 0 + -18
7y = 0 + -18

Combine like terms: 0 + -18 = -18
7y = -18

Divide each side by '7'.
y = -2.571428571

Simplifying
y = -2.571428571

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

Simplifying
7 + 9y = 0

Solving
7 + 9y = 0

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

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

Combine like terms: 7 + -7 = 0
0 + 9y = 0 + -7
9y = 0 + -7

Combine like terms: 0 + -7 = -7
9y = -7

Divide each side by '9'.
y = -0.7777777778

Simplifying
y = -0.7777777778
Solution
y = {-2.571428571, -0.7777777778}

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