What is the answer to solvefor s, s/((2s+6))-2/((5s+5))=((5s^2-3s-7))/((10s^2+40s+30)) ?

The answer to solvefor s, s/((2s+6))-2/((5s+5))=((5s^2-3s-7))/((10s^2+40s+30)) is s= 5/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

Solve for s s/(2s+6)-2/(5s+5)=(5s^2-3s-7)/(10s^2+40s+30)

solve for

s, \frac{s}{( 2 s + 6 )} - \frac{2}{( 5 s + 5 )} = \frac{( 5 s ^{2} - 3 s - 7 )}{( 10 s ^{2} + 40 s + 30 )}

s = \frac{5}{4}

Decimal Notation

s = 1.25

Solution steps

\frac{s}{( 2 s + 6 )} - \frac{2}{( 5 s + 5 )} = \frac{( 5 s ^{2} - 3 s - 7 )}{( 10 s ^{2} + 40 s + 30 )}

Multiply by LCM

5 s (s + 1) - 4 (s + 3) = 5 s^{2} - 3 s - 7

Expand

5 s (s + 1) : 5 s^{2} + 5 s

5 s^{2} + 5 s - 4 (s + 3) = 5 s^{2} - 3 s - 7

Expand

- 4 (s + 3) : - 4 s - 12

5 s^{2} + 5 s - 4 s - 12 = 5 s^{2} - 3 s - 7

Add similar elements:

5 s - 4 s = s

5 s^{2} + s - 12 = 5 s^{2} - 3 s - 7

Move

12

to the right side

5 s^{2} + s = 5 s^{2} - 3 s + 5

Subtract

5 s^{2} - 3 s

from both sides

5 s^{2} + s - (5 s^{2} - 3 s) = 5 s^{2} - 3 s + 5 - (5 s^{2} - 3 s)

Simplify

4 s = 5

Divide both sides by

4

s = \frac{5}{4}

Verify Solutions

Find undefined (singularity) points:

s = - 3, s = - 1

Combine undefined points with solutions:

s = \frac{5}{4}

x, 2^{- x} = 1.5

157

(\frac{- 4}{3})^{3}

43

a, a - 5 = 14

What is the answer to solvefor s, s/((2s+6))-2/((5s+5))=((5s^2-3s-7))/((10s^2+40s+30)) ?
The answer to solvefor s, s/((2s+6))-2/((5s+5))=((5s^2-3s-7))/((10s^2+40s+30)) is s= 5/4