Solve x=-(1/0,75)^2*88*(0.75/1)*0.02/(frac{0,95{0,75})^2*88+88+(1/0.75)^2*88}

$$x = \frac { - ( \frac { 1 } { 0,75 } ) ^ { 2 } \times 88 * ( \frac { 0.75 } { 1 } ) * 0.02 } { ( \frac { 0,95 } { 0,75 } ) ^ { 2 } \times 88 + 88 + ( \frac { 1 } { 0.75 } ) ^ { 2 } * 88 }$$

Solve for x

$$x=-\frac{3}{493}\approx -0.006085193$$

Steps for Solving Linear Equation

Expand \frac{1}{0.75} by multiplying both numerator and the denominator by 100.

$$x=\frac{\left(-\left(\frac{100}{75}\right)^{2}\right)\times 88\times \frac{0.75}{1}\times 0.02}{\left(\frac{0.95}{0.75}\right)^{2}\times 88+88+\left(\frac{1}{0.75}\right)^{2}\times 88}$$

Reduce the fraction \frac{100}{75} to lowest terms by extracting and canceling out 25.

$$x=\frac{\left(-\left(\frac{4}{3}\right)^{2}\right)\times 88\times \frac{0.75}{1}\times 0.02}{\left(\frac{0.95}{0.75}\right)^{2}\times 88+88+\left(\frac{1}{0.75}\right)^{2}\times 88}$$

Calculate \frac{4}{3} to the power of 2 and get \frac{16}{9}.

$$x=\frac{-\frac{16}{9}\times 88\times \frac{0.75}{1}\times 0.02}{\left(\frac{0.95}{0.75}\right)^{2}\times 88+88+\left(\frac{1}{0.75}\right)^{2}\times 88}$$

Multiply -\frac{16}{9} and 88 to get -\frac{1408}{9}.

$$x=\frac{-\frac{1408}{9}\times \frac{0.75}{1}\times 0.02}{\left(\frac{0.95}{0.75}\right)^{2}\times 88+88+\left(\frac{1}{0.75}\right)^{2}\times 88}$$

Anything divided by one gives itself.

$$x=\frac{-\frac{1408}{9}\times 0.75\times 0.02}{\left(\frac{0.95}{0.75}\right)^{2}\times 88+88+\left(\frac{1}{0.75}\right)^{2}\times 88}$$

Multiply -\frac{1408}{9} and 0.75 to get -\frac{352}{3}.

$$x=\frac{-\frac{352}{3}\times 0.02}{\left(\frac{0.95}{0.75}\right)^{2}\times 88+88+\left(\frac{1}{0.75}\right)^{2}\times 88}$$

Multiply -\frac{352}{3} and 0.02 to get -\frac{176}{75}.

$$x=\frac{-\frac{176}{75}}{\left(\frac{0.95}{0.75}\right)^{2}\times 88+88+\left(\frac{1}{0.75}\right)^{2}\times 88}$$

Expand \frac{0.95}{0.75} by multiplying both numerator and the denominator by 100.

$$x=\frac{-\frac{176}{75}}{\left(\frac{95}{75}\right)^{2}\times 88+88+\left(\frac{1}{0.75}\right)^{2}\times 88}$$

Reduce the fraction \frac{95}{75} to lowest terms by extracting and canceling out 5.

$$x=\frac{-\frac{176}{75}}{\left(\frac{19}{15}\right)^{2}\times 88+88+\left(\frac{1}{0.75}\right)^{2}\times 88}$$

Calculate \frac{19}{15} to the power of 2 and get \frac{361}{225}.

$$x=\frac{-\frac{176}{75}}{\frac{361}{225}\times 88+88+\left(\frac{1}{0.75}\right)^{2}\times 88}$$

Multiply \frac{361}{225} and 88 to get \frac{31768}{225}.

$$x=\frac{-\frac{176}{75}}{\frac{31768}{225}+88+\left(\frac{1}{0.75}\right)^{2}\times 88}$$

Add \frac{31768}{225} and 88 to get \frac{51568}{225}.

$$x=\frac{-\frac{176}{75}}{\frac{51568}{225}+\left(\frac{1}{0.75}\right)^{2}\times 88}$$

Expand \frac{1}{0.75} by multiplying both numerator and the denominator by 100.

$$x=\frac{-\frac{176}{75}}{\frac{51568}{225}+\left(\frac{100}{75}\right)^{2}\times 88}$$

Reduce the fraction \frac{100}{75} to lowest terms by extracting and canceling out 25.

$$x=\frac{-\frac{176}{75}}{\frac{51568}{225}+\left(\frac{4}{3}\right)^{2}\times 88}$$

Calculate \frac{4}{3} to the power of 2 and get \frac{16}{9}.

$$x=\frac{-\frac{176}{75}}{\frac{51568}{225}+\frac{16}{9}\times 88}$$

Multiply \frac{16}{9} and 88 to get \frac{1408}{9}.

$$x=\frac{-\frac{176}{75}}{\frac{51568}{225}+\frac{1408}{9}}$$

Add \frac{51568}{225} and \frac{1408}{9} to get \frac{86768}{225}.

$$x=\frac{-\frac{176}{75}}{\frac{86768}{225}}$$

Divide -\frac{176}{75} by \frac{86768}{225} by multiplying -\frac{176}{75} by the reciprocal of \frac{86768}{225}.

$$x=-\frac{176}{75}\times \frac{225}{86768}$$

Multiply -\frac{176}{75} and \frac{225}{86768} to get -\frac{3}{493}.

$$x=-\frac{3}{493}$$

Assign x

$$x≔-\frac{3}{493}$$