6(3y+4)(y-2)=

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Solution for 6(3y+4)(y-2)= equation: 


Simplifying
6(3y + 4)(y + -2) = 0

Reorder the terms:
6(4 + 3y)(y + -2) = 0

Reorder the terms:
6(4 + 3y)(-2 + y) = 0

Multiply (4 + 3y) * (-2 + y)
6(4(-2 + y) + 3y * (-2 + y)) = 0
6((-2 * 4 + y * 4) + 3y * (-2 + y)) = 0
6((-8 + 4y) + 3y * (-2 + y)) = 0
6(-8 + 4y + (-2 * 3y + y * 3y)) = 0
6(-8 + 4y + (-6y + 3y2)) = 0

Combine like terms: 4y + -6y = -2y
6(-8 + -2y + 3y2) = 0
(-8 * 6 + -2y * 6 + 3y2 * 6) = 0
(-48 + -12y + 18y2) = 0

Solving
-48 + -12y + 18y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-8 + -2y + 3y2) = 0

Factor a trinomial.
6((-4 + -3y)(2 + -1y)) = 0

Ignore the factor 6.

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 '(2 + -1y)' equal to zero and attempt to solve:

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2
Solution
y = {-1.333333333, 2}

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