Solve 2*0,193*(0,065^2-0,034)/(1,22:0,94)^2-1=

$$\frac { 2 \cdot 0,193 \cdot ( 0,065 ^ { 2 } - 0,034 ) } { ( 1,22 : 0,94 ) ^ { 2 } - 1 } =$$

Evaluate

$$-\frac{7247729}{378000000}\approx -0,019173886$$

Solution Steps

Multiply 2 and 0,193 to get 0,386.

$$\frac{0,386\left(0\times 65^{2}-0,034\right)}{\left(\frac{1,22}{0,94}\right)^{2}-1}$$

Calculate 65 to the power of 2 and get 4225.

$$\frac{0,386\left(0\times 4225-0,034\right)}{\left(\frac{1,22}{0,94}\right)^{2}-1}$$

Multiply 0 and 4225 to get 0.

$$\frac{0,386\left(0-0,034\right)}{\left(\frac{1,22}{0,94}\right)^{2}-1}$$

Subtract 0,034 from 0 to get -0,034.

$$\frac{0,386\left(-0,034\right)}{\left(\frac{1,22}{0,94}\right)^{2}-1}$$

Multiply 0,386 and -0,034 to get -0,013124.

$$\frac{-0,013124}{\left(\frac{1,22}{0,94}\right)^{2}-1}$$

Expand \frac{1,22}{0,94} by multiplying both numerator and the denominator by 100.

$$\frac{-0,013124}{\left(\frac{122}{94}\right)^{2}-1}$$

Reduce the fraction \frac{122}{94} to lowest terms by extracting and canceling out 2.

$$\frac{-0,013124}{\left(\frac{61}{47}\right)^{2}-1}$$

Calculate \frac{61}{47} to the power of 2 and get \frac{3721}{2209}.

$$\frac{-0,013124}{\frac{3721}{2209}-1}$$

Subtract 1 from \frac{3721}{2209} to get \frac{1512}{2209}.

$$\frac{-0,013124}{\frac{1512}{2209}}$$

Divide -0,013124 by \frac{1512}{2209} by multiplying -0,013124 by the reciprocal of \frac{1512}{2209}.

$$-0,013124\times \frac{2209}{1512}$$

Multiply -0,013124 and \frac{2209}{1512} to get -\frac{7247729}{378000000}.

$$-\frac{7247729}{378000000}$$

Factor

$$-\frac{7247729}{378000000} = -0.019173886243386243$$