(6y-16)(4y+6)y=

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Solution for (6y-16)(4y+6)y= equation: 


Simplifying
(6y + -16)(4y + 6) * y = 0

Reorder the terms:
(-16 + 6y)(4y + 6) * y = 0

Reorder the terms:
(-16 + 6y)(6 + 4y) * y = 0

Reorder the terms for easier multiplication:
y(-16 + 6y)(6 + 4y) = 0

Multiply (-16 + 6y) * (6 + 4y)
y(-16(6 + 4y) + 6y * (6 + 4y)) = 0
y((6 * -16 + 4y * -16) + 6y * (6 + 4y)) = 0
y((-96 + -64y) + 6y * (6 + 4y)) = 0
y(-96 + -64y + (6 * 6y + 4y * 6y)) = 0
y(-96 + -64y + (36y + 24y2)) = 0

Combine like terms: -64y + 36y = -28y
y(-96 + -28y + 24y2) = 0
(-96 * y + -28y * y + 24y2 * y) = 0
(-96y + -28y2 + 24y3) = 0

Solving
-96y + -28y2 + 24y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4y'.
4y(-24 + -7y + 6y2) = 0

Factor a trinomial.
4y((-3 + -2y)(8 + -3y)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

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

Simplifying
-3 + -2y = 0

Solving
-3 + -2y = 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 + -2y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2y = 0 + 3
-2y = 0 + 3

Combine like terms: 0 + 3 = 3
-2y = 3

Divide each side by '-2'.
y = -1.5

Simplifying
y = -1.5

Subproblem 3
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, -1.5, 2.666666667}

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