Solve x^2+1.6*10^-2alpha-1.6*10^-2=

$$x ^ { 2 } + 1.6 \times 10 ^ { - 2 } \alpha - 1.6 \times 10 ^ { - 2 } =$$

Evaluate

$$x^{2}+\frac{2\alpha }{125}-0.016$$

Solution Steps

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$x^{2}+1.6\times \frac{1}{100}\alpha -1.6\times 10^{-2}$$

Multiply 1.6 and \frac{1}{100} to get \frac{2}{125}.

$$x^{2}+\frac{2}{125}\alpha -1.6\times 10^{-2}$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$x^{2}+\frac{2}{125}\alpha -1.6\times \frac{1}{100}$$

Multiply 1.6 and \frac{1}{100} to get \frac{2}{125}.

$$x^{2}+\frac{2}{125}\alpha -\frac{2}{125}$$

Factor

$$\frac{125x^{2}+2\alpha -2}{125}$$

Solution Steps

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$factor(x^{2}+1.6\times \frac{1}{100}\alpha -1.6\times 10^{-2})$$

Multiply 1.6 and \frac{1}{100} to get \frac{2}{125}.

$$factor(x^{2}+\frac{2}{125}\alpha -1.6\times 10^{-2})$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$factor(x^{2}+\frac{2}{125}\alpha -1.6\times \frac{1}{100})$$

Multiply 1.6 and \frac{1}{100} to get \frac{2}{125}.

$$factor(x^{2}+\frac{2}{125}\alpha -\frac{2}{125})$$

Factor out \frac{1}{125}.

$$\frac{125x^{2}+2\alpha -2}{125}$$