Trigonometry Examples

$x^{2} \cdot (5 x) + 6 = 0$

Step 1

Simplify each term.

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Step 1.1

Rewrite using the commutative property of multiplication.

$5 x^{2} x + 6 = 0$

Step 1.2

Multiply $x^{2}$ by $x$ by adding the exponents.

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Step 1.2.1

Move $x$ .

$5 (x \cdot x^{2}) + 6 = 0$

Step 1.2.2

Multiply $x$ by $x^{2}$ .

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Step 1.2.2.1

Raise $x$ to the power of $1$ .

$5 (x^{1} x^{2}) + 6 = 0$

Step 1.2.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$5 x^{1 + 2} + 6 = 0$

Step 1.2.3

Add $1$ and $2$ .

$5 x^{3} + 6 = 0$

Step 2

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

$x \approx - 1.06265856$

Step 3