(3y+7)(5y-11)=0

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Solution for (3y+7)(5y-11)=0 equation: 


Simplifying
(3y + 7)(5y + -11) = 0

Reorder the terms:
(7 + 3y)(5y + -11) = 0

Reorder the terms:
(7 + 3y)(-11 + 5y) = 0

Multiply (7 + 3y) * (-11 + 5y)
(7(-11 + 5y) + 3y * (-11 + 5y)) = 0
((-11 * 7 + 5y * 7) + 3y * (-11 + 5y)) = 0
((-77 + 35y) + 3y * (-11 + 5y)) = 0
(-77 + 35y + (-11 * 3y + 5y * 3y)) = 0
(-77 + 35y + (-33y + 15y2)) = 0

Combine like terms: 35y + -33y = 2y
(-77 + 2y + 15y2) = 0

Solving
-77 + 2y + 15y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-7 + -3y)(11 + -5y) = 0


Subproblem 1
Set the factor '(-7 + -3y)' equal to zero and attempt to solve:

Simplifying
-7 + -3y = 0

Solving
-7 + -3y = 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 + -3y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3y = 0 + 7
-3y = 0 + 7

Combine like terms: 0 + 7 = 7
-3y = 7

Divide each side by '-3'.
y = -2.333333333

Simplifying
y = -2.333333333

Subproblem 2
Set the factor '(11 + -5y)' equal to zero and attempt to solve:

Simplifying
11 + -5y = 0

Solving
11 + -5y = 0

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

Add '-11' to each side of the equation.
11 + -11 + -5y = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -5y = 0 + -11
-5y = 0 + -11

Combine like terms: 0 + -11 = -11
-5y = -11

Divide each side by '-5'.
y = 2.2

Simplifying
y = 2.2
Solution
y = {-2.333333333, 2.2}

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