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Simplifying
17 * 17 = 15 * 15 + x * x
Multiply 17 * 17
289 = 15 * 15 + x * x
Multiply 15 * 15
289 = 225 + x * x
Multiply x * x
289 = 225 + x2
Solving
289 = 225 + x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
289 + -1x2 = 225 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
289 + -1x2 = 225 + 0
289 + -1x2 = 225
Add '-289' to each side of the equation.
289 + -289 + -1x2 = 225 + -289
Combine like terms: 289 + -289 = 0
0 + -1x2 = 225 + -289
-1x2 = 225 + -289
Combine like terms: 225 + -289 = -64
-1x2 = -64
Divide each side by '-1'.
x2 = 64
Simplifying
x2 = 64
Take the square root of each side:
x = {-8, 8}
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