2y^2+3y+5y^2=0

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Solution for 2y^2+3y+5y^2=0 equation: 


Simplifying
2y2 + 3y + 5y2 = 0

Reorder the terms:
3y + 2y2 + 5y2 = 0

Combine like terms: 2y2 + 5y2 = 7y2
3y + 7y2 = 0

Solving
3y + 7y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(3 + 7y) = 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 '(3 + 7y)' equal to zero and attempt to solve:

Simplifying
3 + 7y = 0

Solving
3 + 7y = 0

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

Add '-3' to each side of the equation.
3 + -3 + 7y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7y = 0 + -3
7y = 0 + -3

Combine like terms: 0 + -3 = -3
7y = -3

Divide each side by '7'.
y = -0.4285714286

Simplifying
y = -0.4285714286
Solution
y = {0, -0.4285714286}

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