18y^3+21y^2=

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Solution for 18y^3+21y^2= equation:


Simplifying
18y3 + 21y2 = 0

Reorder the terms:
21y2 + 18y3 = 0

Solving
21y2 + 18y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3y2'.
3y2(7 + 6y) = 0

Ignore the factor 3.

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 '(7 + 6y)' equal to zero and attempt to solve: Simplifying 7 + 6y = 0 Solving 7 + 6y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6y = 0 + -7 6y = 0 + -7 Combine like terms: 0 + -7 = -7 6y = -7 Divide each side by '6'. y = -1.166666667 Simplifying y = -1.166666667

Solution

y = {0, -1.166666667}

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