48(y-5)(3y+8)=

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Solution for 48(y-5)(3y+8)= equation: 


Simplifying
48(y + -5)(3y + 8) = 0

Reorder the terms:
48(-5 + y)(3y + 8) = 0

Reorder the terms:
48(-5 + y)(8 + 3y) = 0

Multiply (-5 + y) * (8 + 3y)
48(-5(8 + 3y) + y(8 + 3y)) = 0
48((8 * -5 + 3y * -5) + y(8 + 3y)) = 0
48((-40 + -15y) + y(8 + 3y)) = 0
48(-40 + -15y + (8 * y + 3y * y)) = 0
48(-40 + -15y + (8y + 3y2)) = 0

Combine like terms: -15y + 8y = -7y
48(-40 + -7y + 3y2) = 0
(-40 * 48 + -7y * 48 + 3y2 * 48) = 0
(-1920 + -336y + 144y2) = 0

Solving
-1920 + -336y + 144y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '48'.
48(-40 + -7y + 3y2) = 0

Factor a trinomial.
48((-8 + -3y)(5 + -1y)) = 0

Ignore the factor 48.

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 '(5 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

Solving
5 + -1y = 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 + -1y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = 0 + -5
-1y = 0 + -5

Combine like terms: 0 + -5 = -5
-1y = -5

Divide each side by '-1'.
y = 5

Simplifying
y = 5
Solution
y = {-2.666666667, 5}

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