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

The answer to (4((x+1)(2x+5)-2x^2-5))/((x-2))=3 is x=-6/25

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

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

x = - \frac{6}{25}

Decimal Notation

x = - 0.24

Solution steps

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

Simplify

\frac{4 ( ( x + 1 ) ( 2 x + 5 ) - 2 x ^{2} - 5 )}{x - 2} : \frac{28 x}{x - 2}

\frac{28 x}{x - 2} = 3

Multiply both sides by

x - 2

28 x = 3 (x - 2)

Expand

3 (x - 2) : 3 x - 6

28 x = 3 x - 6

Move

3 x

to the left side

25 x = - 6

Divide both sides by

25

x = - \frac{6}{25}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = - \frac{6}{25}

x^{- 1} = 0.1 x

\frac{z ^{2} - 4 a ^{2} - 2 - 1}{z ^{2}} = 0

18 t = \frac{0 + 1}{2 ( 3 ) t ^{2}}

\frac{a}{x} = \frac{x}{b + 2}

(\frac{2}{x ^{2}}) - (\frac{5}{x}) + (\frac{2}{1}) = 0

What is the answer to (4((x+1)(2x+5)-2x^2-5))/((x-2))=3 ?
The answer to (4((x+1)(2x+5)-2x^2-5))/((x-2))=3 is x=-6/25
Solve for x: (4((x+1)(2x+5)-2x^2-5))/((x-2))=3
The solution is x=-6/25