Solve 24{left(-3/4right)}^2-2-3/4-15=0

$$24 { \left( \frac{ -3 }{ 4 } \right) }^{ 2 } -2 \frac{ -3 }{ 4 } -15 = 0$$

Verify

Solution Steps

Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.

$$24\left(-\frac{3}{4}\right)^{2}-2\times \frac{-3}{4}-15=0$$

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

$$24\times \frac{9}{16}-2\times \frac{-3}{4}-15=0$$

Multiply 24 and \frac{9}{16} to get \frac{27}{2}.

$$\frac{27}{2}-2\times \frac{-3}{4}-15=0$$

Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.

$$\frac{27}{2}-2\left(-\frac{3}{4}\right)-15=0$$

Multiply 2 and -\frac{3}{4} to get -\frac{3}{2}.

$$\frac{27}{2}-\left(-\frac{3}{2}\right)-15=0$$

The opposite of -\frac{3}{2} is \frac{3}{2}.

$$\frac{27}{2}+\frac{3}{2}-15=0$$

Add \frac{27}{2} and \frac{3}{2} to get 15.

$$15-15=0$$

Subtract 15 from 15 to get 0.

$$0=0$$

Compare 0 and 0.

$$\text{true}$$