(3+2y+2)(3-4y-5)=

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Solution for (3+2y+2)(3-4y-5)= equation: 


Simplifying
(3 + 2y + 2)(3 + -4y + -5) = 0

Reorder the terms:
(3 + 2 + 2y)(3 + -4y + -5) = 0

Combine like terms: 3 + 2 = 5
(5 + 2y)(3 + -4y + -5) = 0

Reorder the terms:
(5 + 2y)(3 + -5 + -4y) = 0

Combine like terms: 3 + -5 = -2
(5 + 2y)(-2 + -4y) = 0

Multiply (5 + 2y) * (-2 + -4y)
(5(-2 + -4y) + 2y * (-2 + -4y)) = 0
((-2 * 5 + -4y * 5) + 2y * (-2 + -4y)) = 0
((-10 + -20y) + 2y * (-2 + -4y)) = 0
(-10 + -20y + (-2 * 2y + -4y * 2y)) = 0
(-10 + -20y + (-4y + -8y2)) = 0

Combine like terms: -20y + -4y = -24y
(-10 + -24y + -8y2) = 0

Solving
-10 + -24y + -8y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(5 + 12y + 4y2) = 0

Factor a trinomial.
-2((5 + 2y)(1 + 2y)) = 0

Ignore the factor -2.

Subproblem 1
Set the factor '(5 + 2y)' equal to zero and attempt to solve:

Simplifying
5 + 2y = 0

Solving
5 + 2y = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2y = 0 + -5
2y = 0 + -5

Combine like terms: 0 + -5 = -5
2y = -5

Divide each side by '2'.
y = -2.5

Simplifying
y = -2.5

Subproblem 2
Set the factor '(1 + 2y)' equal to zero and attempt to solve:

Simplifying
1 + 2y = 0

Solving
1 + 2y = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2y = 0 + -1
2y = 0 + -1

Combine like terms: 0 + -1 = -1
2y = -1

Divide each side by '2'.
y = -0.5

Simplifying
y = -0.5
Solution
y = {-2.5, -0.5}

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