2y(4y+3)(y-5)=

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Solution for 2y(4y+3)(y-5)= equation: 


Simplifying
2y(4y + 3)(y + -5) = 0

Reorder the terms:
2y(3 + 4y)(y + -5) = 0

Reorder the terms:
2y(3 + 4y)(-5 + y) = 0

Multiply (3 + 4y) * (-5 + y)
2y(3(-5 + y) + 4y * (-5 + y)) = 0
2y((-5 * 3 + y * 3) + 4y * (-5 + y)) = 0
2y((-15 + 3y) + 4y * (-5 + y)) = 0
2y(-15 + 3y + (-5 * 4y + y * 4y)) = 0
2y(-15 + 3y + (-20y + 4y2)) = 0

Combine like terms: 3y + -20y = -17y
2y(-15 + -17y + 4y2) = 0
(-15 * 2y + -17y * 2y + 4y2 * 2y) = 0
(-30y + -34y2 + 8y3) = 0

Solving
-30y + -34y2 + 8y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y'.
2y(-15 + -17y + 4y2) = 0

Factor a trinomial.
2y((-3 + -4y)(5 + -1y)) = 0

Ignore the factor 2.

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 + -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

Subproblem 3
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 = {0, -0.75, 5}

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