Solve [(x6/5-10800)6/5-10800(6/5-10800]=0

$$[ ( x \frac { 6 } { 5 } - 10800 ) \frac { 6 } { 5 } - 10800 ( \frac { 6 } { 5 } - 10800 ] = 0$$

Solve for x

$$x=-80982000$$

Steps for Solving Linear Equation

Use the distributive property to multiply x\times \frac{6}{5}-10800 by \frac{6}{5}.

$$x\times \frac{6}{5}\times \frac{6}{5}-10800\times \frac{6}{5}-10800\left(\frac{6}{5}-10800\right)=0$$

Multiply \frac{6}{5} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$x\times \frac{6\times 6}{5\times 5}-10800\times \frac{6}{5}-10800\left(\frac{6}{5}-10800\right)=0$$

Do the multiplications in the fraction \frac{6\times 6}{5\times 5}.

$$x\times \frac{36}{25}-10800\times \frac{6}{5}-10800\left(\frac{6}{5}-10800\right)=0$$

Express -10800\times \frac{6}{5} as a single fraction.

$$x\times \frac{36}{25}+\frac{-10800\times 6}{5}-10800\left(\frac{6}{5}-10800\right)=0$$

Multiply -10800 and 6 to get -64800.

$$x\times \frac{36}{25}+\frac{-64800}{5}-10800\left(\frac{6}{5}-10800\right)=0$$

Divide -64800 by 5 to get -12960.

$$x\times \frac{36}{25}-12960-10800\left(\frac{6}{5}-10800\right)=0$$

Convert 10800 to fraction \frac{54000}{5}.

$$x\times \frac{36}{25}-12960-10800\left(\frac{6}{5}-\frac{54000}{5}\right)=0$$

Since \frac{6}{5} and \frac{54000}{5} have the same denominator, subtract them by subtracting their numerators.

$$x\times \frac{36}{25}-12960-10800\times \frac{6-54000}{5}=0$$

Subtract 54000 from 6 to get -53994.

$$x\times \frac{36}{25}-12960-10800\left(-\frac{53994}{5}\right)=0$$

Express 10800\left(-\frac{53994}{5}\right) as a single fraction.

$$x\times \frac{36}{25}-12960-\frac{10800\left(-53994\right)}{5}=0$$

Multiply 10800 and -53994 to get -583135200.

$$x\times \frac{36}{25}-12960-\frac{-583135200}{5}=0$$

Divide -583135200 by 5 to get -116627040.

$$x\times \frac{36}{25}-12960-\left(-116627040\right)=0$$

The opposite of -116627040 is 116627040.

$$x\times \frac{36}{25}-12960+116627040=0$$

Add -12960 and 116627040 to get 116614080.

$$x\times \frac{36}{25}[phone]=0$$

Subtract 116614080 from both sides. Anything subtracted from zero gives its negation.

$$x\times \frac{36}{25}=-116614080$$

Multiply both sides by \frac{25}{36}, the reciprocal of \frac{36}{25}.

$$x=-116614080\times \frac{25}{36}$$

Express -116614080\times \frac{25}{36} as a single fraction.

$$x=\frac{-116614080\times 25}{36}$$

Multiply -116614080 and 25 to get -2915352000.

$$x=\frac{-2915352000}{36}$$

Divide -2915352000 by 36 to get -80982000.

$$x=-80982000$$