(8y+7)(8y+27)=0

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Solution for (8y+7)(8y+27)=0 equation: 


Simplifying
(8y + 7)(8y + 27) = 0

Reorder the terms:
(7 + 8y)(8y + 27) = 0

Reorder the terms:
(7 + 8y)(27 + 8y) = 0

Multiply (7 + 8y) * (27 + 8y)
(7(27 + 8y) + 8y * (27 + 8y)) = 0
((27 * 7 + 8y * 7) + 8y * (27 + 8y)) = 0
((189 + 56y) + 8y * (27 + 8y)) = 0
(189 + 56y + (27 * 8y + 8y * 8y)) = 0
(189 + 56y + (216y + 64y2)) = 0

Combine like terms: 56y + 216y = 272y
(189 + 272y + 64y2) = 0

Solving
189 + 272y + 64y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(27 + 8y)(7 + 8y) = 0


Subproblem 1
Set the factor '(27 + 8y)' equal to zero and attempt to solve:

Simplifying
27 + 8y = 0

Solving
27 + 8y = 0

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

Add '-27' to each side of the equation.
27 + -27 + 8y = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 8y = 0 + -27
8y = 0 + -27

Combine like terms: 0 + -27 = -27
8y = -27

Divide each side by '8'.
y = -3.375

Simplifying
y = -3.375

Subproblem 2
Set the factor '(7 + 8y)' equal to zero and attempt to solve:

Simplifying
7 + 8y = 0

Solving
7 + 8y = 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 + 8y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 8y = 0 + -7
8y = 0 + -7

Combine like terms: 0 + -7 = -7
8y = -7

Divide each side by '8'.
y = -0.875

Simplifying
y = -0.875
Solution
y = {-3.375, -0.875}

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