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y^{2}+3y^{2}=0
Add 3y^{2} to both sides.
4y^{2}=0
Combine y^{2} and 3y^{2} to get 4y^{2}.
y^{2}=0
Divide both sides by 4. Zero divided by any non-zero number gives zero.
y=0 y=0
Take the square root of both sides of the equation.
y=0
The equation is now solved. Solutions are the same.
y^{2}+3y^{2}=0
Add 3y^{2} to both sides.
4y^{2}=0
Combine y^{2} and 3y^{2} to get 4y^{2}.
y^{2}=0
Divide both sides by 4. Zero divided by any non-zero number gives zero.
y=\frac{0±\sqrt{0^{2}}}{2}
This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and 0 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
y=\frac{0±0}{2}
Take the square root of 0^{2}.
y=0
Divide 0 by 2.