# Solve for y 3y^2-2=-110 3y2-2=-110
Move all terms not containing y to the right side of the equation.
Add 2 to both sides of the equation.
3y2=-110+2
Add -110 and 2.
3y2=-108
3y2=-108
Divide each term by 3 and simplify.
Divide each term in 3y2=-108 by 3.
3y23=-1083
Cancel the common factor of 3.
Cancel the common factor.
3y23=-1083
Divide y2 by 1.
y2=-1083
y2=-1083
Divide -108 by 3.
y2=-36
y2=-36
Take the square root of both sides of the equation to eliminate the exponent on the left side.
y=±-36
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
Rewrite -36 as -1(36).
y=±-1⋅36
Rewrite -1(36) as -1⋅36.
y=±-1⋅36
Rewrite -1 as i.
y=±i⋅36
Rewrite 36 as 62.
y=±i⋅62
Pull terms out from under the radical, assuming positive real numbers.
y=±i⋅6
Move 6 to the left of i.
y=±6i
y=±6i
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the ± to find the first solution.
y=6i
Next, use the negative value of the ± to find the second solution.
y=-6i
The complete solution is the result of both the positive and negative portions of the solution.
y=6i,-6i
y=6i,-6i
y=6i,-6i
Solve for y 3y^2-2=-110

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