Resol c=(3x+5)(5x+3)-2(5x+3)

$$c = ( 3 x + 5 ) ( 5 x + 3 ) - 2 ( 5 x + 3 )$$

Resoleu c

$$c=3\left(x+1\right)\left(5x+3\right)$$

Passos de solució

Utilitzeu la propietat distributiva per multiplicar 3x+5 per 5x+3 i combinar-los com termes.

$$c=15x^{2}+34x+15-2\left(5x+3\right)$$

Utilitzeu la propietat distributiva per multiplicar -2 per 5x+3.

$$c=15x^{2}+34x+15-10x-6$$

Combineu 34x i -10x per obtenir 24x.

$$c=15x^{2}+24x+15-6$$

Resteu 15 de 6 per obtenir 9.

$$c=15x^{2}+24x+9$$

Resoleu x (complex solution)

$$x=-\frac{\sqrt{15c+9}}{15}-\frac{4}{5}$$

$$x=\frac{\sqrt{15c+9}}{15}-\frac{4}{5}$$

Resoleu x

$$x=-\frac{\sqrt{15c+9}}{15}-\frac{4}{5}$$

$$x=\frac{\sqrt{15c+9}}{15}-\frac{4}{5}\text{, }c\geq -\frac{3}{5}$$