3r^2t^2+[4rt^2-(-6r^2t^2-9rt^2)]=

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Solution for 3r^2t^2+[4rt^2-(-6r^2t^2-9rt^2)]= equation: 


Simplifying
3r2t2 + [4rt2 + -1(-6r2t2 + -9rt2)] = 0

Reorder the terms:
3r2t2 + [4rt2 + -1(-9rt2 + -6r2t2)] = 0
3r2t2 + [4rt2 + (-9rt2 * -1 + -6r2t2 * -1)] = 0
3r2t2 + [4rt2 + (9rt2 + 6r2t2)] = 0

Combine like terms: 4rt2 + 9rt2 = 13rt2
3r2t2 + [13rt2 + 6r2t2] = 0

Remove brackets around [13rt2 + 6r2t2]
3r2t2 + 13rt2 + 6r2t2 = 0

Reorder the terms:
13rt2 + 3r2t2 + 6r2t2 = 0

Combine like terms: 3r2t2 + 6r2t2 = 9r2t2
13rt2 + 9r2t2 = 0

Solving
13rt2 + 9r2t2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'rt2'.
rt2(13 + 9r) = 0


Subproblem 1
Set the factor 'rt2' equal to zero and attempt to solve:

Simplifying
rt2 = 0

Solving
rt2 = 0

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

Simplifying
rt2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(13 + 9r)' equal to zero and attempt to solve:

Simplifying
13 + 9r = 0

Solving
13 + 9r = 0

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

Add '-13' to each side of the equation.
13 + -13 + 9r = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 9r = 0 + -13
9r = 0 + -13

Combine like terms: 0 + -13 = -13
9r = -13

Divide each side by '9'.
r = -1.444444444

Simplifying
r = -1.444444444
Solution
r = {-1.444444444}

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