(7y+16)(3y-22)=0

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Solution for (7y+16)(3y-22)=0 equation: 


Simplifying
(7y + 16)(3y + -22) = 0

Reorder the terms:
(16 + 7y)(3y + -22) = 0

Reorder the terms:
(16 + 7y)(-22 + 3y) = 0

Multiply (16 + 7y) * (-22 + 3y)
(16(-22 + 3y) + 7y * (-22 + 3y)) = 0
((-22 * 16 + 3y * 16) + 7y * (-22 + 3y)) = 0
((-352 + 48y) + 7y * (-22 + 3y)) = 0
(-352 + 48y + (-22 * 7y + 3y * 7y)) = 0
(-352 + 48y + (-154y + 21y2)) = 0

Combine like terms: 48y + -154y = -106y
(-352 + -106y + 21y2) = 0

Solving
-352 + -106y + 21y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-16 + -7y)(22 + -3y) = 0


Subproblem 1
Set the factor '(-16 + -7y)' equal to zero and attempt to solve:

Simplifying
-16 + -7y = 0

Solving
-16 + -7y = 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 + -7y = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -7y = 0 + 16
-7y = 0 + 16

Combine like terms: 0 + 16 = 16
-7y = 16

Divide each side by '-7'.
y = -2.285714286

Simplifying
y = -2.285714286

Subproblem 2
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
Solution
y = {-2.285714286, 7.333333333}

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