(-4y-3)(-3y+8)=0

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Solution for (-4y-3)(-3y+8)=0 equation: 


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

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

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

Multiply (-3 + -4y) * (8 + -3y)
(-3(8 + -3y) + -4y * (8 + -3y)) = 0
((8 * -3 + -3y * -3) + -4y * (8 + -3y)) = 0
((-24 + 9y) + -4y * (8 + -3y)) = 0
(-24 + 9y + (8 * -4y + -3y * -4y)) = 0
(-24 + 9y + (-32y + 12y2)) = 0

Combine like terms: 9y + -32y = -23y
(-24 + -23y + 12y2) = 0

Solving
-24 + -23y + 12y2 = 0

Solving for variable 'y'.

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


Subproblem 1
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

Subproblem 2
Set the factor '(8 + -3y)' equal to zero and attempt to solve:

Simplifying
8 + -3y = 0

Solving
8 + -3y = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3y = 0 + -8
-3y = 0 + -8

Combine like terms: 0 + -8 = -8
-3y = -8

Divide each side by '-3'.
y = 2.666666667

Simplifying
y = 2.666666667
Solution
y = {-0.75, 2.666666667}

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