Solve {left(3/2right)}^2+3*3/2=2

$${ \left( \frac{ 3 }{ 2 } \right) }^{ 2 } +3 \times \frac{ 3 }{ 2 } = 2$$

Verify

Solution Steps

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

$$\frac{9}{4}+3\times \frac{3}{2}=2$$

Express 3\times \frac{3}{2} as a single fraction.

$$\frac{9}{4}+\frac{3\times 3}{2}=2$$

Multiply 3 and 3 to get 9.

$$\frac{9}{4}+\frac{9}{2}=2$$

Least common multiple of 4 and 2 is 4. Convert \frac{9}{4} and \frac{9}{2} to fractions with denominator 4.

$$\frac{9}{4}+\frac{18}{4}=2$$

Since \frac{9}{4} and \frac{18}{4} have the same denominator, add them by adding their numerators.

$$\frac{9+18}{4}=2$$

Add 9 and 18 to get 27.

$$\frac{27}{4}=2$$

Convert 2 to fraction \frac{8}{4}.

$$\frac{27}{4}=\frac{8}{4}$$

Compare \frac{27}{4} and \frac{8}{4}.

$$\text{false}$$