(X-1)(x-1)+(x+6)(x+6)=169

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Solution for (X-1)(x-1)+(x+6)(x+6)=169 equation: 


Simplifying
(X + -1)(x + -1) + (x + 6)(x + 6) = 169

Reorder the terms:
(-1 + X)(x + -1) + (x + 6)(x + 6) = 169

Reorder the terms:
(-1 + X)(-1 + x) + (x + 6)(x + 6) = 169

Multiply (-1 + X) * (-1 + x)
(-1(-1 + x) + X(-1 + x)) + (x + 6)(x + 6) = 169
((-1 * -1 + x * -1) + X(-1 + x)) + (x + 6)(x + 6) = 169
((1 + -1x) + X(-1 + x)) + (x + 6)(x + 6) = 169
(1 + -1x + (-1 * X + x * X)) + (x + 6)(x + 6) = 169
(1 + -1x + (-1X + xX)) + (x + 6)(x + 6) = 169

Reorder the terms:
(1 + -1X + -1x + xX) + (x + 6)(x + 6) = 169
(1 + -1X + -1x + xX) + (x + 6)(x + 6) = 169

Reorder the terms:
1 + -1X + -1x + xX + (6 + x)(x + 6) = 169

Reorder the terms:
1 + -1X + -1x + xX + (6 + x)(6 + x) = 169

Multiply (6 + x) * (6 + x)
1 + -1X + -1x + xX + (6(6 + x) + x(6 + x)) = 169
1 + -1X + -1x + xX + ((6 * 6 + x * 6) + x(6 + x)) = 169
1 + -1X + -1x + xX + ((36 + 6x) + x(6 + x)) = 169
1 + -1X + -1x + xX + (36 + 6x + (6 * x + x * x)) = 169
1 + -1X + -1x + xX + (36 + 6x + (6x + x2)) = 169

Combine like terms: 6x + 6x = 12x
1 + -1X + -1x + xX + (36 + 12x + x2) = 169

Reorder the terms:
1 + 36 + -1X + -1x + 12x + xX + x2 = 169

Combine like terms: 1 + 36 = 37
37 + -1X + -1x + 12x + xX + x2 = 169

Combine like terms: -1x + 12x = 11x
37 + -1X + 11x + xX + x2 = 169

Solving
37 + -1X + 11x + xX + x2 = 169

Solving for variable 'X'.

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

Add '-37' to each side of the equation.
37 + -1X + 11x + xX + -37 + x2 = 169 + -37

Reorder the terms:
37 + -37 + -1X + 11x + xX + x2 = 169 + -37

Combine like terms: 37 + -37 = 0
0 + -1X + 11x + xX + x2 = 169 + -37
-1X + 11x + xX + x2 = 169 + -37

Combine like terms: 169 + -37 = 132
-1X + 11x + xX + x2 = 132

Add '-11x' to each side of the equation.
-1X + 11x + xX + -11x + x2 = 132 + -11x

Reorder the terms:
-1X + 11x + -11x + xX + x2 = 132 + -11x

Combine like terms: 11x + -11x = 0
-1X + 0 + xX + x2 = 132 + -11x
-1X + xX + x2 = 132 + -11x

Add '-1x2' to each side of the equation.
-1X + xX + x2 + -1x2 = 132 + -11x + -1x2

Combine like terms: x2 + -1x2 = 0
-1X + xX + 0 = 132 + -11x + -1x2
-1X + xX = 132 + -11x + -1x2

Reorder the terms:
-132 + -1X + 11x + xX + x2 = 132 + -11x + -1x2 + -132 + 11x + x2

Reorder the terms:
-132 + -1X + 11x + xX + x2 = 132 + -132 + -11x + 11x + -1x2 + x2

Combine like terms: 132 + -132 = 0
-132 + -1X + 11x + xX + x2 = 0 + -11x + 11x + -1x2 + x2
-132 + -1X + 11x + xX + x2 = -11x + 11x + -1x2 + x2

Combine like terms: -11x + 11x = 0
-132 + -1X + 11x + xX + x2 = 0 + -1x2 + x2
-132 + -1X + 11x + xX + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-132 + -1X + 11x + xX + x2 = 0

The solution to this equation could not be determined.

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