Simplify by multiplying through.
Apply the distributive property.
Rewrite using the commutative property of multiplication.
Move 2 to the left of y.
Multiply y by y by adding the exponents.
Multiply y by y.
Move 9 to the left side of the equation by subtracting it from both sides.
Use the quadratic formula to find the solutions.
Substitute the values a=3, b=2, and c=-9 into the quadratic formula and solve for y.
Simplify the numerator.
Raise 2 to the power of 2.
Multiply 3 by -9.
Multiply -4 by -27.
Add 4 and 108.
Rewrite 112 as 42⋅7.
Factor 16 out of 112.
Rewrite 16 as 42.
Pull terms out from under the radical.
Multiply 2 by 3.
The final answer is the combination of both solutions.
The result can be shown in multiple forms.
Solve for y y(3y+2)=9