13*13=5*5+x*x

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Solution for 13*13=5*5+x*x equation:


Simplifying
13 * 13 = 5 * 5 + x * x

Multiply 13 * 13
169 = 5 * 5 + x * x

Multiply 5 * 5
169 = 25 + x * x

Multiply x * x
169 = 25 + x2

Solving
169 = 25 + 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.
169 + -1x2 = 25 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
169 + -1x2 = 25 + 0
169 + -1x2 = 25

Add '-169' to each side of the equation.
169 + -169 + -1x2 = 25 + -169

Combine like terms: 169 + -169 = 0
0 + -1x2 = 25 + -169
-1x2 = 25 + -169

Combine like terms: 25 + -169 = -144
-1x2 = -144

Divide each side by '-1'.
x2 = 144

Simplifying
x2 = 144

Take the square root of each side:
x = {-12, 12}

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