(a-5)2+(b+6)2=0

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Solution for (a-5)2+(b+6)2=0 equation:


Simplifying
(a + -5) * 2 + (b + 6) * 2 = 0

Reorder the terms:
(-5 + a) * 2 + (b + 6) * 2 = 0

Reorder the terms for easier multiplication:
2(-5 + a) + (b + 6) * 2 = 0
(-5 * 2 + a * 2) + (b + 6) * 2 = 0
(-10 + 2a) + (b + 6) * 2 = 0

Reorder the terms:
-10 + 2a + (6 + b) * 2 = 0

Reorder the terms for easier multiplication:
-10 + 2a + 2(6 + b) = 0
-10 + 2a + (6 * 2 + b * 2) = 0
-10 + 2a + (12 + 2b) = 0

Reorder the terms:
-10 + 12 + 2a + 2b = 0

Combine like terms: -10 + 12 = 2
2 + 2a + 2b = 0

Solving
2 + 2a + 2b = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + 2a + -2 + 2b = 0 + -2

Reorder the terms:
2 + -2 + 2a + 2b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 2a + 2b = 0 + -2
2a + 2b = 0 + -2

Combine like terms: 0 + -2 = -2
2a + 2b = -2

Add '-2b' to each side of the equation.
2a + 2b + -2b = -2 + -2b

Combine like terms: 2b + -2b = 0
2a + 0 = -2 + -2b
2a = -2 + -2b

Divide each side by '2'.
a = -1 + -1b

Simplifying
a = -1 + -1b

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