# Solve for y 5y*(2y)=90 5y⋅(2y)=90
Simplify.
Multiply 2 by 5.
10y⋅y=90
Raise y to the power of 1.
10(y1y)=90
Raise y to the power of 1.
10(y1y1)=90
Use the power rule aman=am+n to combine exponents.
10y1+1=90
Add 1 and 1.
10y2=90
10y2=90
Divide each term by 10 and simplify.
Divide each term in 10y2=90 by 10.
10y210=9010
Cancel the common factor of 10.
Cancel the common factor.
10y210=9010
Divide y2 by 1.
y2=9010
y2=9010
Divide 90 by 10.
y2=9
y2=9
Take the square root of both sides of the equation to eliminate the exponent on the left side.
y=±9
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
Rewrite 9 as 32.
y=±32
Pull terms out from under the radical, assuming positive real numbers.
y=±3
y=±3
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=3
Next, use the negative value of the ± to find the second solution.
y=-3
The complete solution is the result of both the positive and negative portions of the solution.
y=3,-3
y=3,-3
y=3,-3
Solve for y 5y*(2y)=90

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