(y-7)(3y+16)=0

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Solution for (y-7)(3y+16)=0 equation: 


Simplifying
(y + -7)(3y + 16) = 0

Reorder the terms:
(-7 + y)(3y + 16) = 0

Reorder the terms:
(-7 + y)(16 + 3y) = 0

Multiply (-7 + y) * (16 + 3y)
(-7(16 + 3y) + y(16 + 3y)) = 0
((16 * -7 + 3y * -7) + y(16 + 3y)) = 0
((-112 + -21y) + y(16 + 3y)) = 0
(-112 + -21y + (16 * y + 3y * y)) = 0
(-112 + -21y + (16y + 3y2)) = 0

Combine like terms: -21y + 16y = -5y
(-112 + -5y + 3y2) = 0

Solving
-112 + -5y + 3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-16 + -3y)(7 + -1y) = 0


Subproblem 1
Set the factor '(-16 + -3y)' equal to zero and attempt to solve:

Simplifying
-16 + -3y = 0

Solving
-16 + -3y = 0

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

Add '16' to each side of the equation.
-16 + 16 + -3y = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -3y = 0 + 16
-3y = 0 + 16

Combine like terms: 0 + 16 = 16
-3y = 16

Divide each side by '-3'.
y = -5.333333333

Simplifying
y = -5.333333333

Subproblem 2
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
Solution
y = {-5.333333333, 7}

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