r^2+10r+25-9q^2=0

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Solution for r^2+10r+25-9q^2=0 equation: 


Simplifying
r2 + 10r + 25 + -9q2 = 0

Reorder the terms:
25 + -9q2 + 10r + r2 = 0

Solving
25 + -9q2 + 10r + r2 = 0

Solving for variable 'q'.

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

Add '-25' to each side of the equation.
25 + -9q2 + 10r + -25 + r2 = 0 + -25

Reorder the terms:
25 + -25 + -9q2 + 10r + r2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -9q2 + 10r + r2 = 0 + -25
-9q2 + 10r + r2 = 0 + -25

Combine like terms: 0 + -25 = -25
-9q2 + 10r + r2 = -25

Add '-10r' to each side of the equation.
-9q2 + 10r + -10r + r2 = -25 + -10r

Combine like terms: 10r + -10r = 0
-9q2 + 0 + r2 = -25 + -10r
-9q2 + r2 = -25 + -10r

Add '-1r2' to each side of the equation.
-9q2 + r2 + -1r2 = -25 + -10r + -1r2

Combine like terms: r2 + -1r2 = 0
-9q2 + 0 = -25 + -10r + -1r2
-9q2 = -25 + -10r + -1r2

Divide each side by '-9'.
q2 = 2.777777778 + 1.111111111r + 0.1111111111r2

Simplifying
q2 = 2.777777778 + 1.111111111r + 0.1111111111r2

Reorder the terms:
-2.777777778 + q2 + -1.111111111r + -0.1111111111r2 = 2.777777778 + 1.111111111r + 0.1111111111r2 + -2.777777778 + -1.111111111r + -0.1111111111r2

Reorder the terms:
-2.777777778 + q2 + -1.111111111r + -0.1111111111r2 = 2.777777778 + -2.777777778 + 1.111111111r + -1.111111111r + 0.1111111111r2 + -0.1111111111r2

Combine like terms: 2.777777778 + -2.777777778 = 0.000000000
-2.777777778 + q2 + -1.111111111r + -0.1111111111r2 = 0.000000000 + 1.111111111r + -1.111111111r + 0.1111111111r2 + -0.1111111111r2
-2.777777778 + q2 + -1.111111111r + -0.1111111111r2 = 1.111111111r + -1.111111111r + 0.1111111111r2 + -0.1111111111r2

Combine like terms: 1.111111111r + -1.111111111r = 0.000000000
-2.777777778 + q2 + -1.111111111r + -0.1111111111r2 = 0.000000000 + 0.1111111111r2 + -0.1111111111r2
-2.777777778 + q2 + -1.111111111r + -0.1111111111r2 = 0.1111111111r2 + -0.1111111111r2

Combine like terms: 0.1111111111r2 + -0.1111111111r2 = 0.0000000000
-2.777777778 + q2 + -1.111111111r + -0.1111111111r2 = 0.0000000000

The solution to this equation could not be determined.

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