Subtract 3 from 32.
Move all terms containing y to the left side of the equation.
Subtract y2 from both sides of the equation.
Subtract y2 from 2y2.
Move all terms to the left side of the equation and simplify.
Move 29 to the left side of the equation by subtracting it from both sides.
Subtract 29 from 12.
Use the quadratic formula to find the solutions.
Substitute the values a=1, b=24, and c=-17 into the quadratic formula and solve for y.
Simplify the numerator.
Raise 24 to the power of 2.
Multiply -17 by 1.
Multiply -4 by -17.
Add 576 and 68.
Rewrite 644 as 22⋅161.
Factor 4 out of 644.
Rewrite 4 as 22.
Pull terms out from under the radical.
Multiply 2 by 1.
The final answer is the combination of both solutions.
The result can be shown in multiple forms.
Solve for y 2y^2+24y+12=y^2+32-3