What is the answer to ((3x^2-4))/(5x+8)=1 ?

The answer to ((3x^2-4))/(5x+8)=1 is x=3,x=-4/3

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((3x^2-4))/(5x+8)=1

\frac{( 3 x ^{2} - 4 )}{5 x + 8} = 1

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

Decimal Notation

x = 3, x = - 1.33333 \dots

Solution steps

\frac{( 3 x ^{2} - 4 )}{5 x + 8} = 1

Simplify

\frac{( 3 x ^{2} - 4 )}{5 x + 8} : \frac{3 x ^{2} - 4}{5 x + 8}

\frac{3 x ^{2} - 4}{5 x + 8} = 1

Multiply both sides by

5 x + 8

3 x^{2} - 4 = 5 x + 8

Solve

3 x^{2} - 4 = 5 x + 8 : x = 3, x = - \frac{4}{3}

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

Verify Solutions

Find undefined (singularity) points:

x = - \frac{8}{5}

Combine undefined points with solutions:

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

\frac{x}{x + 2} + \frac{2}{2 x - 3} = 1

x (x + 1) + \frac{24}{x ( x + 1 )} = 14

X (\frac{200}{X - 1}) + 10 X = 200

x + \frac{10}{x} = 11

a, b = \frac{a}{1 - a}

What is the answer to ((3x^2-4))/(5x+8)=1 ?
The answer to ((3x^2-4))/(5x+8)=1 is x=3,x=-4/3
Solve for x: ((3x^2-4))/(5x+8)=1
The solution is x=3,x=-4/3