24r^2s+26rs-28s=0

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Solution for 24r^2s+26rs-28s=0 equation: 


Simplifying
24r2s + 26rs + -28s = 0

Reorder the terms:
26rs + 24r2s + -28s = 0

Solving
26rs + 24r2s + -28s = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2s'.
2s(13r + 12r2 + -14) = 0

Factor a trinomial.
2s((3r + -2)(4r + 7)) = 0

Ignore the factor 2.

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

Simplifying
s = 0

Solving
s = 0

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

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

Simplifying
0 = -1s

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 '(3r + -2)' equal to zero and attempt to solve:

Simplifying
3r + -2 = 0

Reorder the terms:
-2 + 3r = 0

Solving
-2 + 3r = 0

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

Add '2' to each side of the equation.
-2 + 2 + 3r = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3r = 0 + 2
3r = 0 + 2

Combine like terms: 0 + 2 = 2
3r = 2

Divide each side by '3'.
r = 0.6666666667

Simplifying
r = 0.6666666667

Subproblem 3
Set the factor '(4r + 7)' equal to zero and attempt to solve:

Simplifying
4r + 7 = 0

Reorder the terms:
7 + 4r = 0

Solving
7 + 4r = 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 + 4r = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4r = 0 + -7
4r = 0 + -7

Combine like terms: 0 + -7 = -7
4r = -7

Divide each side by '4'.
r = -1.75

Simplifying
r = -1.75
Solution
r = {0.6666666667, -1.75}

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