2y^2-4y^3-6y^2+7y^3=

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Solution for 2y^2-4y^3-6y^2+7y^3= equation:


Simplifying
2y2 + -4y3 + -6y2 + 7y3 = 0

Reorder the terms:
2y2 + -6y2 + -4y3 + 7y3 = 0

Combine like terms: 2y2 + -6y2 = -4y2
-4y2 + -4y3 + 7y3 = 0

Combine like terms: -4y3 + 7y3 = 3y3
-4y2 + 3y3 = 0

Solving
-4y2 + 3y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(-4 + 3y) = 0

Subproblem 1

Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}

Subproblem 2

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

Solution

y = {0, 1.333333333}

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