Precalculus Examples

$- \frac{2}{3} x^{4} - 2 x^{3} + \frac{5}{2} x = - \frac{2}{3} x^{2} + \frac{1}{2}$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Combine $x^{4}$ and $\frac{2}{3}$ .

$- \frac{x^{4} \cdot 2}{3} - 2 x^{3} + \frac{5}{2} x = - \frac{2}{3} x^{2} + \frac{1}{2}$

Step 1.2

Move $2$ to the left of $x^{4}$ .

$- \frac{2 \cdot x^{4}}{3} - 2 x^{3} + \frac{5}{2} x = - \frac{2}{3} x^{2} + \frac{1}{2}$

Step 1.3

Combine $\frac{5}{2}$ and $x$ .

$- \frac{2 x^{4}}{3} - 2 x^{3} + \frac{5 x}{2} = - \frac{2}{3} x^{2} + \frac{1}{2}$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Combine $x^{2}$ and $\frac{2}{3}$ .

$- \frac{2 x^{4}}{3} - 2 x^{3} + \frac{5 x}{2} = - \frac{x^{2} \cdot 2}{3} + \frac{1}{2}$

Step 2.2

Move $2$ to the left of $x^{2}$ .

$- \frac{2 x^{4}}{3} - 2 x^{3} + \frac{5 x}{2} = - \frac{2 x^{2}}{3} + \frac{1}{2}$

Step 3

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x \approx - 2.85887055, - 1.33730161, 0.19617217, 1$

Step 4