X^2+14x+49+x^2=169

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Solution for X^2+14x+49+x^2=169 equation:


Simplifying
X2 + 14x + 49 + x2 = 169

Reorder the terms:
49 + X2 + 14x + x2 = 169

Solving
49 + X2 + 14x + x2 = 169

Solving for variable 'X'.

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

Add '-49' to each side of the equation.
49 + X2 + 14x + -49 + x2 = 169 + -49

Reorder the terms:
49 + -49 + X2 + 14x + x2 = 169 + -49

Combine like terms: 49 + -49 = 0
0 + X2 + 14x + x2 = 169 + -49
X2 + 14x + x2 = 169 + -49

Combine like terms: 169 + -49 = 120
X2 + 14x + x2 = 120

Add '-14x' to each side of the equation.
X2 + 14x + -14x + x2 = 120 + -14x

Combine like terms: 14x + -14x = 0
X2 + 0 + x2 = 120 + -14x
X2 + x2 = 120 + -14x

Add '-1x2' to each side of the equation.
X2 + x2 + -1x2 = 120 + -14x + -1x2

Combine like terms: x2 + -1x2 = 0
X2 + 0 = 120 + -14x + -1x2
X2 = 120 + -14x + -1x2

Simplifying
X2 = 120 + -14x + -1x2

Reorder the terms:
-120 + X2 + 14x + x2 = 120 + -14x + -1x2 + -120 + 14x + x2

Reorder the terms:
-120 + X2 + 14x + x2 = 120 + -120 + -14x + 14x + -1x2 + x2

Combine like terms: 120 + -120 = 0
-120 + X2 + 14x + x2 = 0 + -14x + 14x + -1x2 + x2
-120 + X2 + 14x + x2 = -14x + 14x + -1x2 + x2

Combine like terms: -14x + 14x = 0
-120 + X2 + 14x + x2 = 0 + -1x2 + x2
-120 + X2 + 14x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-120 + X2 + 14x + x2 = 0

The solution to this equation could not be determined.

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