5y^2-2y^3-7y^2+6y^3=

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Solution for 5y^2-2y^3-7y^2+6y^3= equation:


Simplifying
5y2 + -2y3 + -7y2 + 6y3 = 0

Reorder the terms:
5y2 + -7y2 + -2y3 + 6y3 = 0

Combine like terms: 5y2 + -7y2 = -2y2
-2y2 + -2y3 + 6y3 = 0

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

Solving
-2y2 + 4y3 = 0

Solving for variable 'y'.

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

Ignore the factor 2.

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 '(-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

Solution

y = {0, 0.5}

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