y(1-2y)(2+3y)=

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Solution for y(1-2y)(2+3y)= equation: 


Simplifying
y(1 + -2y)(2 + 3y) = 0

Multiply (1 + -2y) * (2 + 3y)
y(1(2 + 3y) + -2y * (2 + 3y)) = 0
y((2 * 1 + 3y * 1) + -2y * (2 + 3y)) = 0
y((2 + 3y) + -2y * (2 + 3y)) = 0
y(2 + 3y + (2 * -2y + 3y * -2y)) = 0
y(2 + 3y + (-4y + -6y2)) = 0

Combine like terms: 3y + -4y = -1y
y(2 + -1y + -6y2) = 0
(2 * y + -1y * y + -6y2 * y) = 0
(2y + -1y2 + -6y3) = 0

Solving
2y + -1y2 + -6y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(2 + -1y + -6y2) = 0

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


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

Simplifying
1 + -2y = 0

Solving
1 + -2y = 0

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

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

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

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

Divide each side by '-2'.
y = 0.5

Simplifying
y = 0.5

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

Simplifying
2 + 3y = 0

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

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

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

Divide each side by '3'.
y = -0.6666666667

Simplifying
y = -0.6666666667
Solution
y = {0, 0.5, -0.6666666667}

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