4y^3-4Y^2-3+3y=0

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Solution for 4y^3-4Y^2-3+3y=0 equation:


Simplifying
4y3 + -4Y2 + -3 + 3y = 0

Reorder the terms:
-3 + -4Y2 + 3y + 4y3 = 0

Solving
-3 + -4Y2 + 3y + 4y3 = 0

Solving for variable 'Y'.

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

Add '3' to each side of the equation.
-3 + -4Y2 + 3y + 3 + 4y3 = 0 + 3

Reorder the terms:
-3 + 3 + -4Y2 + 3y + 4y3 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4Y2 + 3y + 4y3 = 0 + 3
-4Y2 + 3y + 4y3 = 0 + 3

Combine like terms: 0 + 3 = 3
-4Y2 + 3y + 4y3 = 3

Add '-3y' to each side of the equation.
-4Y2 + 3y + -3y + 4y3 = 3 + -3y

Combine like terms: 3y + -3y = 0
-4Y2 + 0 + 4y3 = 3 + -3y
-4Y2 + 4y3 = 3 + -3y

Add '-4y3' to each side of the equation.
-4Y2 + 4y3 + -4y3 = 3 + -3y + -4y3

Combine like terms: 4y3 + -4y3 = 0
-4Y2 + 0 = 3 + -3y + -4y3
-4Y2 = 3 + -3y + -4y3

Divide each side by '-4'.
Y2 = -0.75 + 0.75y + y3

Simplifying
Y2 = -0.75 + 0.75y + y3

Reorder the terms:
0.75 + Y2 + -0.75y + -1y3 = -0.75 + 0.75y + y3 + 0.75 + -0.75y + -1y3

Reorder the terms:
0.75 + Y2 + -0.75y + -1y3 = -0.75 + 0.75 + 0.75y + -0.75y + y3 + -1y3

Combine like terms: -0.75 + 0.75 = 0.00
0.75 + Y2 + -0.75y + -1y3 = 0.00 + 0.75y + -0.75y + y3 + -1y3
0.75 + Y2 + -0.75y + -1y3 = 0.75y + -0.75y + y3 + -1y3

Combine like terms: 0.75y + -0.75y = 0.00
0.75 + Y2 + -0.75y + -1y3 = 0.00 + y3 + -1y3
0.75 + Y2 + -0.75y + -1y3 = y3 + -1y3

Combine like terms: y3 + -1y3 = 0
0.75 + Y2 + -0.75y + -1y3 = 0

The solution to this equation could not be determined.

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