Finite Math Examples

$x^{3} - 3 x^{3} - 4 x + 12 = 0$

Step 1

Subtract $3 x^{3}$ from $x^{3}$ .

$- 2 x^{3} - 4 x + 12 = 0$

Step 2

Factor $2$ out of $- 2 x^{3} - 4 x + 12$ .

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Step 2.1

Factor $2$ out of $- 2 x^{3}$ .

$2 (- x^{3}) - 4 x + 12 = 0$

Step 2.2

Factor $2$ out of $- 4 x$ .

$2 (- x^{3}) + 2 (- 2 x) + 12 = 0$

Step 2.3

Factor $2$ out of $12$ .

$2 (- x^{3}) + 2 (- 2 x) + 2 (6) = 0$

Step 2.4

Factor $2$ out of $2 (- x^{3}) + 2 (- 2 x)$ .

$2 (- x^{3} - 2 x) + 2 (6) = 0$

Step 2.5

Factor $2$ out of $2 (- x^{3} - 2 x) + 2 (6)$ .

$2 (- x^{3} - 2 x + 6) = 0$

Step 3

Simplify $2 (- x^{3} - 2 x + 6)$ .

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Step 3.1

Apply the distributive property.

$2 (- x^{3}) + 2 (- 2 x) + 2 \cdot 6 = 0$

Step 3.2

Simplify.

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Step 3.2.1

Multiply $- 1$ by $2$ .

$- 2 x^{3} + 2 (- 2 x) + 2 \cdot 6 = 0$

Step 3.2.2

Multiply $- 2$ by $2$ .

$- 2 x^{3} - 4 x + 2 \cdot 6 = 0$

Step 3.2.3

Multiply $2$ by $6$ .

$- 2 x^{3} - 4 x + 12 = 0$

Step 4

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

$x \approx 1.45616424$

Step 5