x^2+10x+25-9a^2=0

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Solution for x^2+10x+25-9a^2=0 equation: 


Simplifying
x2 + 10x + 25 + -9a2 = 0

Reorder the terms:
25 + -9a2 + 10x + x2 = 0

Solving
25 + -9a2 + 10x + x2 = 0

Solving for variable 'a'.

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

Add '-25' to each side of the equation.
25 + -9a2 + 10x + -25 + x2 = 0 + -25

Reorder the terms:
25 + -25 + -9a2 + 10x + x2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -9a2 + 10x + x2 = 0 + -25
-9a2 + 10x + x2 = 0 + -25

Combine like terms: 0 + -25 = -25
-9a2 + 10x + x2 = -25

Add '-10x' to each side of the equation.
-9a2 + 10x + -10x + x2 = -25 + -10x

Combine like terms: 10x + -10x = 0
-9a2 + 0 + x2 = -25 + -10x
-9a2 + x2 = -25 + -10x

Add '-1x2' to each side of the equation.
-9a2 + x2 + -1x2 = -25 + -10x + -1x2

Combine like terms: x2 + -1x2 = 0
-9a2 + 0 = -25 + -10x + -1x2
-9a2 = -25 + -10x + -1x2

Divide each side by '-9'.
a2 = 2.777777778 + 1.111111111x + 0.1111111111x2

Simplifying
a2 = 2.777777778 + 1.111111111x + 0.1111111111x2

Reorder the terms:
-2.777777778 + a2 + -1.111111111x + -0.1111111111x2 = 2.777777778 + 1.111111111x + 0.1111111111x2 + -2.777777778 + -1.111111111x + -0.1111111111x2

Reorder the terms:
-2.777777778 + a2 + -1.111111111x + -0.1111111111x2 = 2.777777778 + -2.777777778 + 1.111111111x + -1.111111111x + 0.1111111111x2 + -0.1111111111x2

Combine like terms: 2.777777778 + -2.777777778 = 0.000000000
-2.777777778 + a2 + -1.111111111x + -0.1111111111x2 = 0.000000000 + 1.111111111x + -1.111111111x + 0.1111111111x2 + -0.1111111111x2
-2.777777778 + a2 + -1.111111111x + -0.1111111111x2 = 1.111111111x + -1.111111111x + 0.1111111111x2 + -0.1111111111x2

Combine like terms: 1.111111111x + -1.111111111x = 0.000000000
-2.777777778 + a2 + -1.111111111x + -0.1111111111x2 = 0.000000000 + 0.1111111111x2 + -0.1111111111x2
-2.777777778 + a2 + -1.111111111x + -0.1111111111x2 = 0.1111111111x2 + -0.1111111111x2

Combine like terms: 0.1111111111x2 + -0.1111111111x2 = 0.0000000000
-2.777777778 + a2 + -1.111111111x + -0.1111111111x2 = 0.0000000000

The solution to this equation could not be determined.

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