t^2+6t-16r^2+9=0

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Solution for t^2+6t-16r^2+9=0 equation: 


Simplifying
t2 + 6t + -16r2 + 9 = 0

Reorder the terms:
9 + -16r2 + 6t + t2 = 0

Solving
9 + -16r2 + 6t + t2 = 0

Solving for variable 'r'.

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

Add '-9' to each side of the equation.
9 + -16r2 + 6t + -9 + t2 = 0 + -9

Reorder the terms:
9 + -9 + -16r2 + 6t + t2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -16r2 + 6t + t2 = 0 + -9
-16r2 + 6t + t2 = 0 + -9

Combine like terms: 0 + -9 = -9
-16r2 + 6t + t2 = -9

Add '-6t' to each side of the equation.
-16r2 + 6t + -6t + t2 = -9 + -6t

Combine like terms: 6t + -6t = 0
-16r2 + 0 + t2 = -9 + -6t
-16r2 + t2 = -9 + -6t

Add '-1t2' to each side of the equation.
-16r2 + t2 + -1t2 = -9 + -6t + -1t2

Combine like terms: t2 + -1t2 = 0
-16r2 + 0 = -9 + -6t + -1t2
-16r2 = -9 + -6t + -1t2

Divide each side by '-16'.
r2 = 0.5625 + 0.375t + 0.0625t2

Simplifying
r2 = 0.5625 + 0.375t + 0.0625t2

Reorder the terms:
-0.5625 + r2 + -0.375t + -0.0625t2 = 0.5625 + 0.375t + 0.0625t2 + -0.5625 + -0.375t + -0.0625t2

Reorder the terms:
-0.5625 + r2 + -0.375t + -0.0625t2 = 0.5625 + -0.5625 + 0.375t + -0.375t + 0.0625t2 + -0.0625t2

Combine like terms: 0.5625 + -0.5625 = 0.0000
-0.5625 + r2 + -0.375t + -0.0625t2 = 0.0000 + 0.375t + -0.375t + 0.0625t2 + -0.0625t2
-0.5625 + r2 + -0.375t + -0.0625t2 = 0.375t + -0.375t + 0.0625t2 + -0.0625t2

Combine like terms: 0.375t + -0.375t = 0.000
-0.5625 + r2 + -0.375t + -0.0625t2 = 0.000 + 0.0625t2 + -0.0625t2
-0.5625 + r2 + -0.375t + -0.0625t2 = 0.0625t2 + -0.0625t2

Combine like terms: 0.0625t2 + -0.0625t2 = 0.0000
-0.5625 + r2 + -0.375t + -0.0625t2 = 0.0000

The solution to this equation could not be determined.

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