r^2+6r+9-9d^2=

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Solution for r^2+6r+9-9d^2= equation:


Simplifying
r2 + 6r + 9 + -9d2 = 0

Reorder the terms:
9 + -9d2 + 6r + r2 = 0

Solving
9 + -9d2 + 6r + r2 = 0

Solving for variable 'd'.

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

Add '-9' to each side of the equation.
9 + -9d2 + 6r + -9 + r2 = 0 + -9

Reorder the terms:
9 + -9 + -9d2 + 6r + r2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -9d2 + 6r + r2 = 0 + -9
-9d2 + 6r + r2 = 0 + -9

Combine like terms: 0 + -9 = -9
-9d2 + 6r + r2 = -9

Add '-6r' to each side of the equation.
-9d2 + 6r + -6r + r2 = -9 + -6r

Combine like terms: 6r + -6r = 0
-9d2 + 0 + r2 = -9 + -6r
-9d2 + r2 = -9 + -6r

Add '-1r2' to each side of the equation.
-9d2 + r2 + -1r2 = -9 + -6r + -1r2

Combine like terms: r2 + -1r2 = 0
-9d2 + 0 = -9 + -6r + -1r2
-9d2 = -9 + -6r + -1r2

Divide each side by '-9'.
d2 = 1 + 0.6666666667r + 0.1111111111r2

Simplifying
d2 = 1 + 0.6666666667r + 0.1111111111r2

Reorder the terms:
-1 + d2 + -0.6666666667r + -0.1111111111r2 = 1 + 0.6666666667r + 0.1111111111r2 + -1 + -0.6666666667r + -0.1111111111r2

Reorder the terms:
-1 + d2 + -0.6666666667r + -0.1111111111r2 = 1 + -1 + 0.6666666667r + -0.6666666667r + 0.1111111111r2 + -0.1111111111r2

Combine like terms: 1 + -1 = 0
-1 + d2 + -0.6666666667r + -0.1111111111r2 = 0 + 0.6666666667r + -0.6666666667r + 0.1111111111r2 + -0.1111111111r2
-1 + d2 + -0.6666666667r + -0.1111111111r2 = 0.6666666667r + -0.6666666667r + 0.1111111111r2 + -0.1111111111r2

Combine like terms: 0.6666666667r + -0.6666666667r = 0.0000000000
-1 + d2 + -0.6666666667r + -0.1111111111r2 = 0.0000000000 + 0.1111111111r2 + -0.1111111111r2
-1 + d2 + -0.6666666667r + -0.1111111111r2 = 0.1111111111r2 + -0.1111111111r2

Combine like terms: 0.1111111111r2 + -0.1111111111r2 = 0.0000000000
-1 + d2 + -0.6666666667r + -0.1111111111r2 = 0.0000000000

The solution to this equation could not be determined.

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