Solve -1-(1-2{left(4/5right)}^2)x={left({left(4/5right)}^2right)}^2

$$-1-(1-2 { \left( \frac{ 4 }{ 5 } \right) }^{ 2 } )x= { \left( { \left( \frac{ 4 }{ 5 } \right) }^{ 2 } \right) }^{ 2 }$$

Solve for x

$$x = \frac{881}{175} = 5\frac{6}{175} \approx 5.034285714$$

Steps for Solving Linear Equation

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$-1-\left(1-2\times \left(\frac{4}{5}\right)^{2}\right)x=\left(\frac{4}{5}\right)^{4}$$

Calculate \frac{4}{5} to the power of 2 and get \frac{16}{25}.

$$-1-\left(1-2\times \frac{16}{25}\right)x=\left(\frac{4}{5}\right)^{4}$$

Multiply 2 and \frac{16}{25} to get \frac{32}{25}.

$$-1-\left(1-\frac{32}{25}\right)x=\left(\frac{4}{5}\right)^{4}$$

Subtract \frac{32}{25} from 1 to get -\frac{7}{25}.

$$-1-\left(-\frac{7}{25}x\right)=\left(\frac{4}{5}\right)^{4}$$

The opposite of -\frac{7}{25}x is \frac{7}{25}x.

$$-1+\frac{7}{25}x=\left(\frac{4}{5}\right)^{4}$$

Calculate \frac{4}{5} to the power of 4 and get \frac{256}{625}.

$$-1+\frac{7}{25}x=\frac{256}{625}$$

Add 1 to both sides.

$$\frac{7}{25}x=\frac{256}{625}+1$$

Add \frac{256}{625} and 1 to get \frac{881}{625}.

$$\frac{7}{25}x=\frac{881}{625}$$

Multiply both sides by \frac{25}{7}, the reciprocal of \frac{7}{25}.

$$x=\frac{881}{625}\times \frac{25}{7}$$

Multiply \frac{881}{625} and \frac{25}{7} to get \frac{881}{175}.

$$x=\frac{881}{175}$$