(5.242-a)+(0.124-b)*(5.242-a)+(0.124-b)=R

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Solution for (5.242-a)+(0.124-b)*(5.242-a)+(0.124-b)=R equation: 


Simplifying
(5.242 + -1a) + (0.124 + -1b)(5.242 + -1a) + (0.124 + -1b) = R

Remove parenthesis around (5.242 + -1a)
5.242 + -1a + (0.124 + -1b)(5.242 + -1a) + (0.124 + -1b) = R

Multiply (0.124 + -1b) * (5.242 + -1a)
5.242 + -1a + (0.124(5.242 + -1a) + -1b * (5.242 + -1a)) + (0.124 + -1b) = R
5.242 + -1a + ((5.242 * 0.124 + -1a * 0.124) + -1b * (5.242 + -1a)) + (0.124 + -1b) = R
5.242 + -1a + ((0.650008 + -0.124a) + -1b * (5.242 + -1a)) + (0.124 + -1b) = R
5.242 + -1a + (0.650008 + -0.124a + (5.242 * -1b + -1a * -1b)) + (0.124 + -1b) = R

Reorder the terms:
5.242 + -1a + (0.650008 + -0.124a + (1ab + -5.242b)) + (0.124 + -1b) = R
5.242 + -1a + (0.650008 + -0.124a + (1ab + -5.242b)) + (0.124 + -1b) = R
5.242 + -1a + (0.650008 + -0.124a + 1ab + -5.242b) + (0.124 + -1b) = R

Remove parenthesis around (0.124 + -1b)
5.242 + -1a + 0.650008 + -0.124a + 1ab + -5.242b + 0.124 + -1b = R

Reorder the terms:
5.242 + 0.650008 + 0.124 + -1a + -0.124a + 1ab + -5.242b + -1b = R

Combine like terms: 5.242 + 0.650008 = 5.892008
5.892008 + 0.124 + -1a + -0.124a + 1ab + -5.242b + -1b = R

Combine like terms: 5.892008 + 0.124 = 6.016008
6.016008 + -1a + -0.124a + 1ab + -5.242b + -1b = R

Combine like terms: -1a + -0.124a = -1.124a
6.016008 + -1.124a + 1ab + -5.242b + -1b = R

Combine like terms: -5.242b + -1b = -6.242b
6.016008 + -1.124a + 1ab + -6.242b = R

Solving
6.016008 + -1.124a + 1ab + -6.242b = R

Solving for variable 'a'.

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

Add '-6.016008' to each side of the equation.
6.016008 + -1.124a + 1ab + -6.016008 + -6.242b = -6.016008 + R

Reorder the terms:
6.016008 + -6.016008 + -1.124a + 1ab + -6.242b = -6.016008 + R

Combine like terms: 6.016008 + -6.016008 = 0.000000
0.000000 + -1.124a + 1ab + -6.242b = -6.016008 + R
-1.124a + 1ab + -6.242b = -6.016008 + R

Add '6.242b' to each side of the equation.
-1.124a + 1ab + -6.242b + 6.242b = -6.016008 + R + 6.242b

Combine like terms: -6.242b + 6.242b = 0.000
-1.124a + 1ab + 0.000 = -6.016008 + R + 6.242b
-1.124a + 1ab = -6.016008 + R + 6.242b

Reorder the terms:
6.016008 + -1R + -1.124a + 1ab + -6.242b = -6.016008 + R + 6.242b + 6.016008 + -1R + -6.242b

Reorder the terms:
6.016008 + -1R + -1.124a + 1ab + -6.242b = -6.016008 + 6.016008 + R + -1R + 6.242b + -6.242b

Combine like terms: -6.016008 + 6.016008 = 0.000000
6.016008 + -1R + -1.124a + 1ab + -6.242b = 0.000000 + R + -1R + 6.242b + -6.242b
6.016008 + -1R + -1.124a + 1ab + -6.242b = R + -1R + 6.242b + -6.242b

Combine like terms: R + -1R = 0
6.016008 + -1R + -1.124a + 1ab + -6.242b = 0 + 6.242b + -6.242b
6.016008 + -1R + -1.124a + 1ab + -6.242b = 6.242b + -6.242b

Combine like terms: 6.242b + -6.242b = 0.000
6.016008 + -1R + -1.124a + 1ab + -6.242b = 0.000

The solution to this equation could not be determined.

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