What is the answer to ((x+1))/3 =(21)/(2+2x-1) ?

The answer to ((x+1))/3 =(21)/(2+2x-1) is x=(-3+sqrt(505))/4 ,x=(-3-sqrt(505))/4

Solve for x: ((x+1))/3 =(21)/(2+2x-1)

The solution is x=(-3+sqrt(505))/4 ,x=(-3-sqrt(505))/4

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\frac{( x + 1 )}{3} = \frac{21}{2 + 2 x - 1}

x = \frac{- 3 + 505}{4}, x = \frac{- 3 - 505}{4}

Decimal Notation

x = 4.86805 \dots, x = - 6.36805 \dots

Solution steps

\frac{( x + 1 )}{3} = \frac{21}{2 + 2 x - 1}

Cross multiply

(x + 1) (2 x + 1) = 63

Solve

(x + 1) (2 x + 1) = 63 : x = \frac{- 3 + 505}{4}, x = \frac{- 3 - 505}{4}

x = \frac{- 3 + 505}{4}, x = \frac{- 3 - 505}{4}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{2}

Combine undefined points with solutions:

x = \frac{- 3 + 505}{4}, x = \frac{- 3 - 505}{4}

a, (a + b)^{- 1} = a^{- 1} + b^{- 1}

\frac{4}{x ^{2}} = \frac{1}{( a - x ) 2}

\frac{12}{23} = \frac{0.5}{x}

u, \frac{1}{u} + \frac{1}{v} = \frac{1}{f}

2 x = \frac{1}{3 x ^{2}}

What is the answer to ((x+1))/3 =(21)/(2+2x-1) ?
The answer to ((x+1))/3 =(21)/(2+2x-1) is x=(-3+sqrt(505))/4 ,x=(-3-sqrt(505))/4
Solve for x: ((x+1))/3 =(21)/(2+2x-1)
The solution is x=(-3+sqrt(505))/4 ,x=(-3-sqrt(505))/4