(x+1.3)(x+1.3)+(x-1.3)(x-1.3)=r^2

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Solution for (x+1.3)(x+1.3)+(x-1.3)(x-1.3)=r^2 equation: 


Simplifying
(x + 1.3)(x + 1.3) + (x + -1.3)(x + -1.3) = r2

Reorder the terms:
(1.3 + x)(x + 1.3) + (x + -1.3)(x + -1.3) = r2

Reorder the terms:
(1.3 + x)(1.3 + x) + (x + -1.3)(x + -1.3) = r2

Multiply (1.3 + x) * (1.3 + x)
(1.3(1.3 + x) + x(1.3 + x)) + (x + -1.3)(x + -1.3) = r2
((1.3 * 1.3 + x * 1.3) + x(1.3 + x)) + (x + -1.3)(x + -1.3) = r2
((1.69 + 1.3x) + x(1.3 + x)) + (x + -1.3)(x + -1.3) = r2
(1.69 + 1.3x + (1.3 * x + x * x)) + (x + -1.3)(x + -1.3) = r2
(1.69 + 1.3x + (1.3x + x2)) + (x + -1.3)(x + -1.3) = r2

Combine like terms: 1.3x + 1.3x = 2.6x
(1.69 + 2.6x + x2) + (x + -1.3)(x + -1.3) = r2

Reorder the terms:
1.69 + 2.6x + x2 + (-1.3 + x)(x + -1.3) = r2

Reorder the terms:
1.69 + 2.6x + x2 + (-1.3 + x)(-1.3 + x) = r2

Multiply (-1.3 + x) * (-1.3 + x)
1.69 + 2.6x + x2 + (-1.3(-1.3 + x) + x(-1.3 + x)) = r2
1.69 + 2.6x + x2 + ((-1.3 * -1.3 + x * -1.3) + x(-1.3 + x)) = r2
1.69 + 2.6x + x2 + ((1.69 + -1.3x) + x(-1.3 + x)) = r2
1.69 + 2.6x + x2 + (1.69 + -1.3x + (-1.3 * x + x * x)) = r2
1.69 + 2.6x + x2 + (1.69 + -1.3x + (-1.3x + x2)) = r2

Combine like terms: -1.3x + -1.3x = -2.6x
1.69 + 2.6x + x2 + (1.69 + -2.6x + x2) = r2

Reorder the terms:
1.69 + 1.69 + 2.6x + -2.6x + x2 + x2 = r2

Combine like terms: 1.69 + 1.69 = 3.38
3.38 + 2.6x + -2.6x + x2 + x2 = r2

Combine like terms: 2.6x + -2.6x = 0.0
3.38 + 0.0 + x2 + x2 = r2
3.38 + x2 + x2 = r2

Combine like terms: x2 + x2 = 2x2
3.38 + 2x2 = r2

Solving
3.38 + 2x2 = r2

Solving for variable 'x'.

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

Add '-3.38' to each side of the equation.
3.38 + -3.38 + 2x2 = -3.38 + r2

Combine like terms: 3.38 + -3.38 = 0.00
0.00 + 2x2 = -3.38 + r2
2x2 = -3.38 + r2

Divide each side by '2'.
x2 = -1.69 + 0.5r2

Simplifying
x2 = -1.69 + 0.5r2

Reorder the terms:
1.69 + -0.5r2 + x2 = -1.69 + 0.5r2 + 1.69 + -0.5r2

Reorder the terms:
1.69 + -0.5r2 + x2 = -1.69 + 1.69 + 0.5r2 + -0.5r2

Combine like terms: -1.69 + 1.69 = 0.00
1.69 + -0.5r2 + x2 = 0.00 + 0.5r2 + -0.5r2
1.69 + -0.5r2 + x2 = 0.5r2 + -0.5r2

Combine like terms: 0.5r2 + -0.5r2 = 0.0
1.69 + -0.5r2 + x2 = 0.0

The solution to this equation could not be determined.

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