Solve u=(x+1.5)(x-2)

$$u = ( x + 1.5 ) ( x - 2 )$$

Solve for u

$$u=\left(x-2\right)\left(x+1.5\right)$$

Solution Steps

Use the distributive property to multiply x+1.5 by x-2 and combine like terms.

$$u=x^{2}-0.5x-3$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{4u+12.25}}{2}+0.25$$

$$x=\frac{\sqrt{4u+12.25}}{2}+0.25$$

Solve for x

$$x=-\frac{\sqrt{4u+12.25}}{2}+0.25$$

$$x=\frac{\sqrt{4u+12.25}}{2}+0.25\text{, }u\geq -\frac{49}{16}$$