x^2+14x+49-9a^2=

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Solution for x^2+14x+49-9a^2= equation: 


Simplifying
x2 + 14x + 49 + -9a2 = 0

Reorder the terms:
49 + -9a2 + 14x + x2 = 0

Solving
49 + -9a2 + 14x + x2 = 0

Solving for variable 'a'.

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

Add '-49' to each side of the equation.
49 + -9a2 + 14x + -49 + x2 = 0 + -49

Reorder the terms:
49 + -49 + -9a2 + 14x + x2 = 0 + -49

Combine like terms: 49 + -49 = 0
0 + -9a2 + 14x + x2 = 0 + -49
-9a2 + 14x + x2 = 0 + -49

Combine like terms: 0 + -49 = -49
-9a2 + 14x + x2 = -49

Add '-14x' to each side of the equation.
-9a2 + 14x + -14x + x2 = -49 + -14x

Combine like terms: 14x + -14x = 0
-9a2 + 0 + x2 = -49 + -14x
-9a2 + x2 = -49 + -14x

Add '-1x2' to each side of the equation.
-9a2 + x2 + -1x2 = -49 + -14x + -1x2

Combine like terms: x2 + -1x2 = 0
-9a2 + 0 = -49 + -14x + -1x2
-9a2 = -49 + -14x + -1x2

Divide each side by '-9'.
a2 = 5.444444444 + 1.555555556x + 0.1111111111x2

Simplifying
a2 = 5.444444444 + 1.555555556x + 0.1111111111x2

Reorder the terms:
-5.444444444 + a2 + -1.555555556x + -0.1111111111x2 = 5.444444444 + 1.555555556x + 0.1111111111x2 + -5.444444444 + -1.555555556x + -0.1111111111x2

Reorder the terms:
-5.444444444 + a2 + -1.555555556x + -0.1111111111x2 = 5.444444444 + -5.444444444 + 1.555555556x + -1.555555556x + 0.1111111111x2 + -0.1111111111x2

Combine like terms: 5.444444444 + -5.444444444 = 0.000000000
-5.444444444 + a2 + -1.555555556x + -0.1111111111x2 = 0.000000000 + 1.555555556x + -1.555555556x + 0.1111111111x2 + -0.1111111111x2
-5.444444444 + a2 + -1.555555556x + -0.1111111111x2 = 1.555555556x + -1.555555556x + 0.1111111111x2 + -0.1111111111x2

Combine like terms: 1.555555556x + -1.555555556x = 0.000000000
-5.444444444 + a2 + -1.555555556x + -0.1111111111x2 = 0.000000000 + 0.1111111111x2 + -0.1111111111x2
-5.444444444 + a2 + -1.555555556x + -0.1111111111x2 = 0.1111111111x2 + -0.1111111111x2

Combine like terms: 0.1111111111x2 + -0.1111111111x2 = 0.0000000000
-5.444444444 + a2 + -1.555555556x + -0.1111111111x2 = 0.0000000000

The solution to this equation could not be determined.

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