# Solve for x 15^2+x^2=25^2 152+x2=252
Raise 15 to the power of 2.
225+x2=252
Raise 25 to the power of 2.
225+x2=625
Move all terms not containing x to the right side of the equation.
Subtract 225 from both sides of the equation.
x2=625-225
Subtract 225 from 625.
x2=400
x2=400
Take the square root of both sides of the equation to eliminate the exponent on the left side.
x=±400
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
Rewrite 400 as 202.
x=±202
Pull terms out from under the radical, assuming positive real numbers.
x=±20
x=±20
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.
x=20
Next, use the negative value of the ± to find the second solution.
x=-20
The complete solution is the result of both the positive and negative portions of the solution.
x=20,-20
x=20,-20
x=20,-20
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