Resolver x+89*10^9/(365*75)^2=3354*10^15

$$\frac { x + 89 \times 10 ^ { 9 } } { ( 365 \times 75 ) ^ { 2 } } = 3354 \times 10 ^ { 15 }$$

Resolver x

$$x=2513456156249999911000000000$$

Pasos para resolver unha ecuación lineal

Calcula 10 á potencia de 9 e obtén 1000000000.

$$\frac{x+89\times 1000000000}{\left(365\times 75\right)^{2}}=3354\times 10^{15}$$

Multiplica 89 e 1000000000 para obter 89000000000.

$$\frac{x+89000000000}{\left(365\times 75\right)^{2}}=3354\times 10^{15}$$

Multiplica 365 e 75 para obter 27375.

$$\frac{x+89000000000}{27375^{2}}=3354\times 10^{15}$$

Calcula 27375 á potencia de 2 e obtén 749390625.

$$\frac{x+89000000000}{749390625}=3354\times 10^{15}$$

Calcula 10 á potencia de 15 e obtén 1000000000000000.

$$\frac{x+89000000000}{749390625}=3354\times 1000000000000000$$

Multiplica 3354 e 1000000000000000 para obter 3354000000000000000.

$$\frac{x+89000000000}{749390625}=3354000000000000000$$

Divide cada termo de x+89000000000 entre 749390625 para obter \frac{1}{749390625}x+\frac{5696000}{47961}.

$$\frac{1}{749390625}x+\frac{5696000}{47961}=3354000000000000000$$

Resta \frac{5696000}{47961} en ambos lados.

$$\frac{1}{749390625}x=3354000000000000000-\frac{5696000}{47961}$$

Resta \frac{5696000}{47961} de 3354000000000000000 para obter \frac{160861193999999994304000}{47961}.

$$\frac{1}{749390625}x=\frac{160861193999999994304000}{47961}$$

Multiplica ambos lados por 749390625, o recíproco de \frac{1}{749390625}.

$$x=\frac{160861193999999994304000}{47961}\times 749390625$$

Multiplica \frac{160861193999999994304000}{47961} e 749390625 para obter 2513456156249999911000000000.

$$x=2513456156249999911000000000$$