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

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


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

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

Multiply (7 + -1y) * (2 + 3y)
(7(2 + 3y) + -1y * (2 + 3y)) = 0
((2 * 7 + 3y * 7) + -1y * (2 + 3y)) = 0
((14 + 21y) + -1y * (2 + 3y)) = 0
(14 + 21y + (2 * -1y + 3y * -1y)) = 0
(14 + 21y + (-2y + -3y2)) = 0

Combine like terms: 21y + -2y = 19y
(14 + 19y + -3y2) = 0

Solving
14 + 19y + -3y2 = 0

Solving for variable 'y'.

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


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

Simplifying
7 + -1y = 0

Solving
7 + -1y = 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 + -1y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = 0 + -7
-1y = 0 + -7

Combine like terms: 0 + -7 = -7
-1y = -7

Divide each side by '-1'.
y = 7

Simplifying
y = 7

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

Simplifying
2 + 3y = 0

Solving
2 + 3y = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3y = 0 + -2
3y = 0 + -2

Combine like terms: 0 + -2 = -2
3y = -2

Divide each side by '3'.
y = -0.6666666667

Simplifying
y = -0.6666666667
Solution
y = {7, -0.6666666667}

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