# Solve for y 2y^2-162=0 2y2-162=0
Add 162 to both sides of the equation.
2y2=162
Divide each term by 2 and simplify.
Divide each term in 2y2=162 by 2.
2y22=1622
Cancel the common factor of 2.
Cancel the common factor.
2y22=1622
Divide y2 by 1.
y2=1622
y2=1622
Divide 162 by 2.
y2=81
y2=81
Take the square root of both sides of the equation to eliminate the exponent on the left side.
y=±81
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
Rewrite 81 as 92.
y=±92
Pull terms out from under the radical, assuming positive real numbers.
y=±9
y=±9
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=9
Next, use the negative value of the ± to find the second solution.
y=-9
The complete solution is the result of both the positive and negative portions of the solution.
y=9,-9
y=9,-9
y=9,-9
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