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


Subproblem 1
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

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 = {-2.666666667, 0.75}

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