What is factor (x^2+2x)/(2x^2+3x-2) ?

The solution to factor (x^2+2x)/(2x^2+3x-2) is x/(2x-1)

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factor (x^2+2x)/(2x^2+3x-2)

factor

\frac{x ^{2} + 2 x}{2 x ^{2} + 3 x - 2}

\frac{x}{2 x - 1}

Solution steps

\frac{x ^{2} + 2 x}{2 x ^{2} + 3 x - 2}

Factor out common term

x : x (x + 2)

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

Factor

2 x^{2} + 3 x - 2 : (2 x - 1) (x + 2)

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

Cancel the common factor:

x + 2

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

60 + 4 x = 180

x^{3} - 3 x^{2} + 4

(\frac{9}{49})^{\frac{- 1}{2}}

142

\frac{2}{x - 1} \geq 5

What is factor (x^2+2x)/(2x^2+3x-2) ?
The solution to factor (x^2+2x)/(2x^2+3x-2) is x/(2x-1)