(8y+4)(9y+7)=0

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Solution for (8y+4)(9y+7)=0 equation: 


Simplifying
(8y + 4)(9y + 7) = 0

Reorder the terms:
(4 + 8y)(9y + 7) = 0

Reorder the terms:
(4 + 8y)(7 + 9y) = 0

Multiply (4 + 8y) * (7 + 9y)
(4(7 + 9y) + 8y * (7 + 9y)) = 0
((7 * 4 + 9y * 4) + 8y * (7 + 9y)) = 0
((28 + 36y) + 8y * (7 + 9y)) = 0
(28 + 36y + (7 * 8y + 9y * 8y)) = 0
(28 + 36y + (56y + 72y2)) = 0

Combine like terms: 36y + 56y = 92y
(28 + 92y + 72y2) = 0

Solving
28 + 92y + 72y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(7 + 23y + 18y2) = 0

Factor a trinomial.
4((7 + 9y)(1 + 2y)) = 0

Ignore the factor 4.

Subproblem 1
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

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

Simplifying
1 + 2y = 0

Solving
1 + 2y = 0

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

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

Combine like terms: 1 + -1 = 0
0 + 2y = 0 + -1
2y = 0 + -1

Combine like terms: 0 + -1 = -1
2y = -1

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

Simplifying
y = -0.5
Solution
y = {-0.7777777778, -0.5}

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