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\frac{3}{4x^2}-\frac{x}{2x^2+10x}

Solve x

Answer

$\frac{\frac{3}{4}\left(x+5\right)-\frac{1}{2}x^2}{x^2\left(x+5\right)}$

Step-by-step explanation

Problem to solve:

$\frac{3}{4x^2}-\frac{x}{2x^2+10x}$
1

Apply the formula: $\frac{a}{b\cdot x}$$=\frac{\frac{a}{b}}{x}$, where $a=3$, $b=4$ and $x=x^2$

$\frac{\frac{3}{4}}{x^2}-\left(\frac{x}{2x^2+10x}\right)$
2

Factor by the greatest common divisor $2$

$\frac{\frac{3}{4}}{x^2}-\left(\frac{x}{2\left(x^2+5x\right)}\right)$

Unlock this step-by-step solution!

Answer

$\frac{\frac{3}{4}\left(x+5\right)-\frac{1}{2}x^2}{x^2\left(x+5\right)}$
$\frac{3}{4x^2}-\frac{x}{2x^2+10x}$

Main topic:

Factorization

Time to solve it:

~ 0.91 seconds