y^3+3y^2=70y

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Solution for y^3+3y^2=70y equation: 


Simplifying
y3 + 3y2 = 70y

Reorder the terms:
3y2 + y3 = 70y

Solving
3y2 + y3 = 70y

Solving for variable 'y'.

Reorder the terms:
-70y + 3y2 + y3 = 70y + -70y

Combine like terms: 70y + -70y = 0
-70y + 3y2 + y3 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-70 + 3y + y2) = 0

Factor a trinomial.
y((-10 + -1y)(7 + -1y)) = 0


Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(-10 + -1y)' equal to zero and attempt to solve:

Simplifying
-10 + -1y = 0

Solving
-10 + -1y = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1y = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1y = 0 + 10
-1y = 0 + 10

Combine like terms: 0 + 10 = 10
-1y = 10

Divide each side by '-1'.
y = -10

Simplifying
y = -10

Subproblem 3
Set the factor '(7 + -1y)' equal to zero and attempt to solve:

Simplifying
7 + -1y = 0

Solving
7 + -1y = 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 + -1y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = 0 + -7
-1y = 0 + -7

Combine like terms: 0 + -7 = -7
-1y = -7

Divide each side by '-1'.
y = 7

Simplifying
y = 7
Solution
y = {0, -10, 7}

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