Precalculus Examples

$x^{3} - \frac{4}{5} x^{2} + \frac{74}{5} x + 3 = 0$

Step 1

Simplify each term.

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Step 1.1

Combine $x^{2}$ and $\frac{4}{5}$ .

$x^{3} - \frac{x^{2} \cdot 4}{5} + \frac{74}{5} x + 3 = 0$

Step 1.2

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

$x^{3} - \frac{4 \cdot x^{2}}{5} + \frac{74}{5} x + 3 = 0$

Step 1.3

Combine $\frac{74}{5}$ and $x$ .

$x^{3} - \frac{4 x^{2}}{5} + \frac{74 x}{5} + 3 = 0$

Step 2

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

$x = - \frac{1}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{1}{5}$

Decimal Form:

$x = - 0.2$

Step 4