# Solve for y 2y^2+30=y^2+11 2y2+30=y2+11
Move all terms containing y to the left side of the equation.
Subtract y2 from both sides of the equation.
2y2+30-y2=11
Subtract y2 from 2y2.
y2+30=11
y2+30=11
Move all terms not containing y to the right side of the equation.
Subtract 30 from both sides of the equation.
y2=11-30
Subtract 30 from 11.
y2=-19
y2=-19
Take the square root of both sides of the equation to eliminate the exponent on the left side.
y=±-19
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
Rewrite -19 as -1(19).
y=±-1⋅19
Rewrite -1(19) as -1⋅19.
y=±-1⋅19
Rewrite -1 as i.
y=±i19
y=±i19
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=i19
Next, use the negative value of the ± to find the second solution.
y=-i19
The complete solution is the result of both the positive and negative portions of the solution.
y=i19,-i19
y=i19,-i19
y=i19,-i19
Solve for y 2y^2+30=y^2+11

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