7y^2-y^3-3y^2-8y^3=

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Solution for 7y^2-y^3-3y^2-8y^3= equation:


Simplifying
7y2 + -1y3 + -3y2 + -8y3 = 0

Reorder the terms:
7y2 + -3y2 + -1y3 + -8y3 = 0

Combine like terms: 7y2 + -3y2 = 4y2
4y2 + -1y3 + -8y3 = 0

Combine like terms: -1y3 + -8y3 = -9y3
4y2 + -9y3 = 0

Solving
4y2 + -9y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(4 + -9y) = 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 + -9y)' equal to zero and attempt to solve: Simplifying 4 + -9y = 0 Solving 4 + -9y = 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 + -9y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9y = 0 + -4 -9y = 0 + -4 Combine like terms: 0 + -4 = -4 -9y = -4 Divide each side by '-9'. y = 0.4444444444 Simplifying y = 0.4444444444

Solution

y = {0, 0.4444444444}

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