(4rxt-8r^2x+x^2)-(6rx^2+5rxt-2x^2)=

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Solution for (4rxt-8r^2x+x^2)-(6rx^2+5rxt-2x^2)= equation: 


Simplifying
(4rxt + -8r2x + x2) + -1(6rx2 + 5rxt + -2x2) = 0

Remove parenthesis around (4rtx + -8r2x + x2)
4rtx + -8r2x + x2 + -1(6rx2 + 5rxt + -2x2) = 0

Reorder the terms:
4rtx + -8r2x + x2 + -1(5rtx + 6rx2 + -2x2) = 0
4rtx + -8r2x + x2 + (5rtx * -1 + 6rx2 * -1 + -2x2 * -1) = 0
4rtx + -8r2x + x2 + (-5rtx + -6rx2 + 2x2) = 0

Reorder the terms:
4rtx + -5rtx + -6rx2 + -8r2x + x2 + 2x2 = 0

Combine like terms: 4rtx + -5rtx = -1rtx
-1rtx + -6rx2 + -8r2x + x2 + 2x2 = 0

Combine like terms: x2 + 2x2 = 3x2
-1rtx + -6rx2 + -8r2x + 3x2 = 0

Solving
-1rtx + -6rx2 + -8r2x + 3x2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1rt + -6rx + -8r2 + 3x) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

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 '(-1rt + -6rx + -8r2 + 3x)' equal to zero and attempt to solve:

Simplifying
-1rt + -6rx + -8r2 + 3x = 0

Solving
-1rt + -6rx + -8r2 + 3x = 0

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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