(y-7)(3y+22)=0

Solution for (y-7)(3y+22)=0 equation:

Simplifying
(y + -7)(3y + 22) = 0

Reorder the terms:
(-7 + y)(3y + 22) = 0

Reorder the terms:
(-7 + y)(22 + 3y) = 0

Multiply (-7 + y) * (22 + 3y)
(-7(22 + 3y) + y(22 + 3y)) = 0
((22 * -7 + 3y * -7) + y(22 + 3y)) = 0
((-154 + -21y) + y(22 + 3y)) = 0
(-154 + -21y + (22 * y + 3y * y)) = 0
(-154 + -21y + (22y + 3y2)) = 0

Combine like terms: -21y + 22y = 1y
(-154 + 1y + 3y2) = 0

Solving
-154 + 1y + 3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-22 + -3y)(7 + -1y) = 0

Subproblem 1
Set the factor '(-22 + -3y)' equal to zero and attempt to solve:

Simplifying
-22 + -3y = 0

Solving
-22 + -3y = 0

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

Add '22' to each side of the equation.
-22 + 22 + -3y = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -3y = 0 + 22
-3y = 0 + 22

Combine like terms: 0 + 22 = 22
-3y = 22

Divide each side by '-3'.
y = -7.333333333

Simplifying
y = -7.333333333
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 = {-7.333333333, 7}