(8+y)(3y-7)=0

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Solution for (8+y)(3y-7)=0 equation: 


Simplifying
(8 + y)(3y + -7) = 0

Reorder the terms:
(8 + y)(-7 + 3y) = 0

Multiply (8 + y) * (-7 + 3y)
(8(-7 + 3y) + y(-7 + 3y)) = 0
((-7 * 8 + 3y * 8) + y(-7 + 3y)) = 0
((-56 + 24y) + y(-7 + 3y)) = 0
(-56 + 24y + (-7 * y + 3y * y)) = 0
(-56 + 24y + (-7y + 3y2)) = 0

Combine like terms: 24y + -7y = 17y
(-56 + 17y + 3y2) = 0

Solving
-56 + 17y + 3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-8 + -1y)(7 + -3y) = 0


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

Simplifying
-8 + -1y = 0

Solving
-8 + -1y = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1y = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1y = 0 + 8
-1y = 0 + 8

Combine like terms: 0 + 8 = 8
-1y = 8

Divide each side by '-1'.
y = -8

Simplifying
y = -8

Subproblem 2
Set the factor '(7 + -3y)' equal to zero and attempt to solve:

Simplifying
7 + -3y = 0

Solving
7 + -3y = 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 + -3y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3y = 0 + -7
-3y = 0 + -7

Combine like terms: 0 + -7 = -7
-3y = -7

Divide each side by '-3'.
y = 2.333333333

Simplifying
y = 2.333333333
Solution
y = {-8, 2.333333333}

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