Solve x=0.85/1.25*(5.67*10^-8)*(423^4-373^4)+423

$$x = \frac { 0.85 } { 1.25 } \cdot ( 5.67 \times 10 ^ { - 8 } ) \cdot ( 423 ^ { 4 } - 373 ^ { 4 } ) + 423$$

Solve for x

$$x=911.0691610704$$

Steps for Solving Linear Equation

Expand \frac{0.85}{1.25} by multiplying both numerator and the denominator by 100.

$$x=\frac{85}{125}\times 5.67\times 10^{-8}\left(423^{4}-373^{4}\right)+423$$

Reduce the fraction \frac{85}{125} to lowest terms by extracting and canceling out 5.

$$x=\frac{17}{25}\times 5.67\times 10^{-8}\left(423^{4}-373^{4}\right)+423$$

Multiply \frac{17}{25} and 5.67 to get \frac{9639}{2500}.

$$x=\frac{9639}{2500}\times 10^{-8}\left(423^{4}-373^{4}\right)+423$$

Calculate 10 to the power of -8 and get \frac{1}{100000000}.

$$x=\frac{9639}{2500}\times \frac{1}{100000000}\left(423^{4}-373^{4}\right)+423$$

Multiply \frac{9639}{2500} and \frac{1}{100000000} to get \frac{9639}{250000000000}.

$$x=\frac{9639}{250000000000}\left(423^{4}-373^{4}\right)+423$$

Calculate 423 to the power of 4 and get 32015587041.

$$x=\frac{9639}{250000000000}\left(32015587041-373^{4}\right)+423$$

Calculate 373 to the power of 4 and get 19356878641.

$$x=\frac{9639}{250000000000}\left(32015587041-19356878641\right)+423$$

Subtract 19356878641 from 32015587041 to get 12658708400.

$$x=\frac{9639}{250000000000}\times 12658708400+423$$

Multiply \frac{9639}{250000000000} and 12658708400 to get \frac{305043225669}{625000000}.

$$x=\frac{305043225669}{625000000}+423$$

Add \frac{305043225669}{625000000} and 423 to get \frac{569418225669}{625000000}.

$$x=\frac{569418225669}{625000000}$$

Assign x

$$x≔911.0691610704$$