Resolver 1000*left(1+006right)^-1+4000*left(1+006right)^-3-10000*left(1+006right)^-7+xleft(1+006right)^-8=0

$$1000 \times { \left(1+006 \right) }^{ -1 } +4000 \times { \left(1+006 \right) }^{ -3 } -10000 \times { \left(1+006 \right) }^{ -7 } +x { \left(1+006 \right) }^{ -8 } =0$$

Resolver x

$$x=5000$$

Pasos para resolver unha ecuación lineal

Multiplica 0 e 0 para obter 0.

$$1000\left(1+0\times 6\right)^{-1}+4000\left(1+0\times 0\times 6\right)^{-3}-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Multiplica 0 e 6 para obter 0.

$$1000\left(1+0\right)^{-1}+4000\left(1+0\times 0\times 6\right)^{-3}-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Suma 1 e 0 para obter 1.

$$1000\times 1^{-1}+4000\left(1+0\times 0\times 6\right)^{-3}-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Calcula 1 á potencia de -1 e obtén 1.

$$1000\times 1+4000\left(1+0\times 0\times 6\right)^{-3}-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Multiplica 1000 e 1 para obter 1000.

$$1000+4000\left(1+0\times 0\times 6\right)^{-3}-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Multiplica 0 e 0 para obter 0.

$$1000+4000\left(1+0\times 6\right)^{-3}-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Multiplica 0 e 6 para obter 0.

$$1000+4000\left(1+0\right)^{-3}-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Suma 1 e 0 para obter 1.

$$1000+4000\times 1^{-3}-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Calcula 1 á potencia de -3 e obtén 1.

$$1000+4000\times 1-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Multiplica 4000 e 1 para obter 4000.

$$1000+4000-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Suma 1000 e 4000 para obter 5000.

$$5000-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Multiplica 0 e 0 para obter 0.

$$5000-10000\left(1+0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Multiplica 0 e 6 para obter 0.

$$5000-10000\left(1+0\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Suma 1 e 0 para obter 1.

$$5000-10000\times 1^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Calcula 1 á potencia de -7 e obtén 1.

$$5000-10000\times 1+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Multiplica 10000 e 1 para obter 10000.

$$5000-10000+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Resta 10000 de 5000 para obter -5000.

$$-5000+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Multiplica 0 e 0 para obter 0.

$$-5000+x\left(1+0\times 6\right)^{-8}=0$$

Multiplica 0 e 6 para obter 0.

$$-5000+x\left(1+0\right)^{-8}=0$$

Suma 1 e 0 para obter 1.

$$-5000+x\times 1^{-8}=0$$

Calcula 1 á potencia de -8 e obtén 1.

$$-5000+x\times 1=0$$

Engadir 5000 en ambos lados. Calquera valor máis cero é igual ao valor.

$$x\times 1=5000$$

Reordena os termos.

$$x=5000$$