=2rs+14r

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Solution for =2rs+14r equation:


Simplifying
0 = 2rs + 14r

Reorder the terms:
0 = 14r + 2rs

Solving
0 = 14r + 2rs

Solving for variable 'r'.

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

Add '-14r' to each side of the equation.
0 + -14r = 14r + -14r + 2rs
Remove the zero:
-14r = 14r + -14r + 2rs

Combine like terms: 14r + -14r = 0
-14r = 0 + 2rs
-14r = 2rs

Add '-2rs' to each side of the equation.
-14r + -2rs = 2rs + -2rs

Combine like terms: 2rs + -2rs = 0
-14r + -2rs = 0

Factor out the Greatest Common Factor (GCF), '-2r'.
-2r(7 + s) = 0

Ignore the factor -2.

Subproblem 1

Set the factor 'r' equal to zero and attempt to solve: Simplifying r = 0 Solving r = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r = 0

Subproblem 2

Set the factor '(7 + s)' equal to zero and attempt to solve: Simplifying 7 + s = 0 Solving 7 + s = 0 Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + s = 0 + -7 s = 0 + -7 Combine like terms: 0 + -7 = -7 s = -7 Add '-1s' to each side of the equation. s + -1s = -7 + -1s Combine like terms: s + -1s = 0 0 = -7 + -1s Simplifying 0 = -7 + -1s The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

r = {0}

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