(3-y)(2y+7)=0

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Solution for (3-y)(2y+7)=0 equation: 


Simplifying
(3 + -1y)(2y + 7) = 0

Reorder the terms:
(3 + -1y)(7 + 2y) = 0

Multiply (3 + -1y) * (7 + 2y)
(3(7 + 2y) + -1y * (7 + 2y)) = 0
((7 * 3 + 2y * 3) + -1y * (7 + 2y)) = 0
((21 + 6y) + -1y * (7 + 2y)) = 0
(21 + 6y + (7 * -1y + 2y * -1y)) = 0
(21 + 6y + (-7y + -2y2)) = 0

Combine like terms: 6y + -7y = -1y
(21 + -1y + -2y2) = 0

Solving
21 + -1y + -2y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(3 + -1y)(7 + 2y) = 0


Subproblem 1
Set the factor '(3 + -1y)' equal to zero and attempt to solve:

Simplifying
3 + -1y = 0

Solving
3 + -1y = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = 0 + -3
-1y = 0 + -3

Combine like terms: 0 + -3 = -3
-1y = -3

Divide each side by '-1'.
y = 3

Simplifying
y = 3

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

Simplifying
7 + 2y = 0

Solving
7 + 2y = 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 + 2y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2y = 0 + -7
2y = 0 + -7

Combine like terms: 0 + -7 = -7
2y = -7

Divide each side by '2'.
y = -3.5

Simplifying
y = -3.5
Solution
y = {3, -3.5}

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