(X^2)+(x+1)(x+1)=113

Solution for (X^2)+(x+1)(x+1)=113 equation:

Simplifying
(X2) + (x + 1)(x + 1) = 113
X2 + (x + 1)(x + 1) = 113

Reorder the terms:
X2 + (1 + x)(x + 1) = 113

Reorder the terms:
X2 + (1 + x)(1 + x) = 113

Multiply (1 + x) * (1 + x)
X2 + (1(1 + x) + x(1 + x)) = 113
X2 + ((1 * 1 + x * 1) + x(1 + x)) = 113
X2 + ((1 + 1x) + x(1 + x)) = 113
X2 + (1 + 1x + (1 * x + x * x)) = 113
X2 + (1 + 1x + (1x + x2)) = 113

Combine like terms: 1x + 1x = 2x
X2 + (1 + 2x + x2) = 113

Reorder the terms:
1 + X2 + 2x + x2 = 113

Solving
1 + X2 + 2x + x2 = 113

Solving for variable 'X'.

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

Add '-1' to each side of the equation.
1 + X2 + 2x + -1 + x2 = 113 + -1

Reorder the terms:
1 + -1 + X2 + 2x + x2 = 113 + -1

Combine like terms: 1 + -1 = 0
0 + X2 + 2x + x2 = 113 + -1
X2 + 2x + x2 = 113 + -1

Combine like terms: 113 + -1 = 112
X2 + 2x + x2 = 112

Add '-2x' to each side of the equation.
X2 + 2x + -2x + x2 = 112 + -2x

Combine like terms: 2x + -2x = 0
X2 + 0 + x2 = 112 + -2x
X2 + x2 = 112 + -2x

Add '-1x2' to each side of the equation.
X2 + x2 + -1x2 = 112 + -2x + -1x2

Combine like terms: x2 + -1x2 = 0
X2 + 0 = 112 + -2x + -1x2
X2 = 112 + -2x + -1x2

Simplifying
X2 = 112 + -2x + -1x2

Reorder the terms:
-112 + X2 + 2x + x2 = 112 + -2x + -1x2 + -112 + 2x + x2

Reorder the terms:
-112 + X2 + 2x + x2 = 112 + -112 + -2x + 2x + -1x2 + x2

Combine like terms: 112 + -112 = 0
-112 + X2 + 2x + x2 = 0 + -2x + 2x + -1x2 + x2
-112 + X2 + 2x + x2 = -2x + 2x + -1x2 + x2

Combine like terms: -2x + 2x = 0
-112 + X2 + 2x + x2 = 0 + -1x2 + x2
-112 + X2 + 2x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-112 + X2 + 2x + x2 = 0

The solution to this equation could not be determined.