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Simplifying
10 * 10 = x * x + 6 * 6
Multiply 10 * 10
100 = x * x + 6 * 6
Multiply x * x
100 = x2 + 6 * 6
Multiply 6 * 6
100 = x2 + 36
Reorder the terms:
100 = 36 + x2
Solving
100 = 36 + 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.
100 + -1x2 = 36 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
100 + -1x2 = 36 + 0
100 + -1x2 = 36
Add '-100' to each side of the equation.
100 + -100 + -1x2 = 36 + -100
Combine like terms: 100 + -100 = 0
0 + -1x2 = 36 + -100
-1x2 = 36 + -100
Combine like terms: 36 + -100 = -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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