4(4y+3)(6y+8)=

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Solution for 4(4y+3)(6y+8)= equation: 


Simplifying
4(4y + 3)(6y + 8) = 0

Reorder the terms:
4(3 + 4y)(6y + 8) = 0

Reorder the terms:
4(3 + 4y)(8 + 6y) = 0

Multiply (3 + 4y) * (8 + 6y)
4(3(8 + 6y) + 4y * (8 + 6y)) = 0
4((8 * 3 + 6y * 3) + 4y * (8 + 6y)) = 0
4((24 + 18y) + 4y * (8 + 6y)) = 0
4(24 + 18y + (8 * 4y + 6y * 4y)) = 0
4(24 + 18y + (32y + 24y2)) = 0

Combine like terms: 18y + 32y = 50y
4(24 + 50y + 24y2) = 0
(24 * 4 + 50y * 4 + 24y2 * 4) = 0
(96 + 200y + 96y2) = 0

Solving
96 + 200y + 96y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '8'.
8(12 + 25y + 12y2) = 0

Factor a trinomial.
8((4 + 3y)(3 + 4y)) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(4 + 3y)' equal to zero and attempt to solve:

Simplifying
4 + 3y = 0

Solving
4 + 3y = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3y = 0 + -4
3y = 0 + -4

Combine like terms: 0 + -4 = -4
3y = -4

Divide each side by '3'.
y = -1.333333333

Simplifying
y = -1.333333333

Subproblem 2
Set the factor '(3 + 4y)' equal to zero and attempt to solve:

Simplifying
3 + 4y = 0

Solving
3 + 4y = 0

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

Add '-3' to each side of the equation.
3 + -3 + 4y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4y = 0 + -3
4y = 0 + -3

Combine like terms: 0 + -3 = -3
4y = -3

Divide each side by '4'.
y = -0.75

Simplifying
y = -0.75
Solution
y = {-1.333333333, -0.75}

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