(rst-2rs)-(3rst-4rs)=

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Solution for (rst-2rs)-(3rst-4rs)= equation:


Simplifying
(rst + -2rs) + -1(3rst + -4rs) = 0

Reorder the terms:
(-2rs + rst) + -1(3rst + -4rs) = 0

Remove parenthesis around (-2rs + rst)
-2rs + rst + -1(3rst + -4rs) = 0

Reorder the terms:
-2rs + rst + -1(-4rs + 3rst) = 0
-2rs + rst + (-4rs * -1 + 3rst * -1) = 0
-2rs + rst + (4rs + -3rst) = 0

Reorder the terms:
-2rs + 4rs + rst + -3rst = 0

Combine like terms: -2rs + 4rs = 2rs
2rs + rst + -3rst = 0

Combine like terms: rst + -3rst = -2rst
2rs + -2rst = 0

Solving
2rs + -2rst = 0

Solving for variable 'r'.

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

Factor out the Greatest Common Factor (GCF), '2rs'.
2rs(1 + -1t) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'rs' equal to zero and attempt to solve: Simplifying rs = 0 Solving rs = 0 Move all terms containing r to the left, all other terms to the right. Simplifying rs = 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 '(1 + -1t)' equal to zero and attempt to solve: Simplifying 1 + -1t = 0 Solving 1 + -1t = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1t = 0 + -1 -1t = 0 + -1 Combine like terms: 0 + -1 = -1 -1t = -1 Add 't' to each side of the equation. -1t + t = -1 + t Combine like terms: -1t + t = 0 0 = -1 + t Simplifying 0 = -1 + t 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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