Pre-Algebra Examples

$2 x^{2} \cdot (26 x) = - 2 x - 7 x - 2$

Step 1

Simplify $2 x^{2} \cdot (26 x)$ .

Tap for more steps...

Step 1.1

Rewrite using the commutative property of multiplication.

$2 \cdot 26 x^{2} x = - 2 x - 7 x - 2$

Step 1.2

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

Tap for more steps...

Step 1.2.1

Move $x$ .

$2 \cdot 26 (x \cdot x^{2}) = - 2 x - 7 x - 2$

Step 1.2.2

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

Tap for more steps...

Step 1.2.2.1

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

$2 \cdot 26 (x^{1} x^{2}) = - 2 x - 7 x - 2$

Step 1.2.2.2

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

$2 \cdot 26 x^{1 + 2} = - 2 x - 7 x - 2$

Step 1.2.3

Add $1$ and $2$ .

$2 \cdot 26 x^{3} = - 2 x - 7 x - 2$

Step 1.3

Multiply $2$ by $26$ .

$52 x^{3} = - 2 x - 7 x - 2$

Step 2

Subtract $7 x$ from $- 2 x$ .

$52 x^{3} = - 9 x - 2$

Step 3

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

$x \approx - 0.18540106$

Step 4