Algebra Examples

$3 (8 x + 4) - 7 (6 x^{2} + 2 x - 1)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$3 (8 x) + 3 \cdot 4 - 7 (6 x^{2} + 2 x - 1)$

Step 1.2

Multiply $8$ by $3$ .

$24 x + 3 \cdot 4 - 7 (6 x^{2} + 2 x - 1)$

Step 1.3

Multiply $3$ by $4$ .

$24 x + 12 - 7 (6 x^{2} + 2 x - 1)$

Step 1.4

Apply the distributive property.

$24 x + 12 - 7 (6 x^{2}) - 7 (2 x) - 7 \cdot - 1$

Step 1.5

Simplify.

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Step 1.5.1

Multiply $6$ by $- 7$ .

$24 x + 12 - 42 x^{2} - 7 (2 x) - 7 \cdot - 1$

Step 1.5.2

Multiply $2$ by $- 7$ .

$24 x + 12 - 42 x^{2} - 14 x - 7 \cdot - 1$

Step 1.5.3

Multiply $- 7$ by $- 1$ .

$24 x + 12 - 42 x^{2} - 14 x + 7$

$24 x + 12 - 42 x^{2} - 14 x + 7$

$24 x + 12 - 42 x^{2} - 14 x + 7$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $14 x$ from $24 x$ .

$10 x + 12 - 42 x^{2} + 7$

Step 2.2

Simplify the expression.

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Step 2.2.1

Add $12$ and $7$ .

$10 x - 42 x^{2} + 19$

Step 2.2.2

Reorder $10 x$ and $- 42 x^{2}$ .

$- 42 x^{2} + 10 x + 19$

$- 42 x^{2} + 10 x + 19$

$- 42 x^{2} + 10 x + 19$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$