Solve -3/2*8.314x=101.32x

$$- \frac { 3 } { 2 } \times 8.314 x = 101.32 x$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

Convert decimal number 8.314 to fraction \frac{8314}{1000}. Reduce the fraction \frac{8314}{1000} to lowest terms by extracting and canceling out 2.

$$-\frac{3}{2}\times \frac{4157}{500}x=101.32x$$

Multiply -\frac{3}{2} times \frac{4157}{500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\times 4157}{2\times 500}x=101.32x$$

Do the multiplications in the fraction \frac{-3\times 4157}{2\times 500}.

$$\frac{-12471}{1000}x=101.32x$$

Fraction \frac{-12471}{1000} can be rewritten as -\frac{12471}{1000} by extracting the negative sign.

$$-\frac{12471}{1000}x=101.32x$$

Subtract 101.32x from both sides.

$$-\frac{12471}{1000}x-101.32x=0$$

Combine -\frac{12471}{1000}x and -101.32x to get -\frac{113791}{1000}x.

$$-\frac{113791}{1000}x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since -\frac{113791}{1000} is not equal to 0, x must be equal to 0.

$$x=0$$