-4x^2+(-24x) eching

$$- 4 x ^ { 2 } + ( - 24 x )$$

Omil

$$-4x\left(x+6\right)$$

Yechim qadamlari

4 omili.

$$4\left(-x^{2}-6x\right)$$

Hisoblang: -x^{2}-6x. x omili.

$$x\left(-x-6\right)$$

Toʻliq ajratilgan ifodani qaytadan yozing.

$$4x\left(-x-6\right)$$

Kvadrat tenglamalaridan foydalanish qoidalari

Kvadrat koʻp tenglama bu orqali hisoblanadi: ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right), bu yerda x_{1} va x_{2} ax^{2}+bx+c=0 kvadrat tenglamaning yechimlari.

$$-4x^{2}-24x=0$$

ax^{2}+bx+c=0 shaklidagi barcha tenglamalarni kvadrat formulasi bilan yechish mumkin: \frac{-b±\sqrt{b^{2}-4ac}}{2a}. Kvadrat formula ikki yechmni taqdim qiladi, biri ± qo'shish bo'lganda, va ikkinchisi ayiruv bo'lganda.

$$x=\frac{-\left(-24\right)±\sqrt{\left(-24\right)^{2}}}{2\left(-4\right)}$$

\left(-24\right)^{2} ning kvadrat ildizini chiqarish.

$$x=\frac{-\left(-24\right)±24}{2\left(-4\right)}$$

-24 ning teskarisi 24 ga teng.

$$x=\frac{24±24}{2\left(-4\right)}$$

2 ni -4 marotabaga ko'paytirish.

$$x=\frac{24±24}{-8}$$

x=\frac{24±24}{-8} tenglamasini yeching, bunda ± musbat. 24 ni 24 ga qo'shish.

$$x=\frac{48}{-8}$$

48 ni -8 ga bo'lish.

$$x=-6$$

x=\frac{24±24}{-8} tenglamasini yeching, bunda ± manfiy. 24 dan 24 ni ayirish.

$$x=\frac{0}{-8}$$

0 ni -8 ga bo'lish.

$$x=0$$

ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right) formulasi yordamida amalni hisoblang. x_{1} uchun -6 ga va x_{2} uchun 0 ga bo‘ling.

$$-4x^{2}-24x=-4\left(x-\left(-6\right)\right)x$$

p-\left(-q\right) shaklining barcha amallarigani p+q ga soddalashtiring.

$$-4x^{2}-24x=-4\left(x+6\right)x$$

Baholash

$$-4x\left(x+6\right)$$