Algebra Examples

Subtract $- 7 x - 9$ from $- 4 x^{2} + 3 x - 5$

Step 1

Write the problem as a mathematical expression.

$- 4 x^{2} + 3 x - 5 - (- 7 x - 9)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$- 4 x^{2} + 3 x - 5 - (- 7 x) - - 9$

Step 2.2

Multiply $- 7$ by $- 1$ .

$- 4 x^{2} + 3 x - 5 + 7 x - - 9$

Step 2.3

Multiply $- 1$ by $- 9$ .

$- 4 x^{2} + 3 x - 5 + 7 x + 9$

$- 4 x^{2} + 3 x - 5 + 7 x + 9$

Step 3

Simplify by adding terms.

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Step 3.1

Add $3 x$ and $7 x$ .

$- 4 x^{2} + 10 x - 5 + 9$

Step 3.2

Add $- 5$ and $9$ .

$- 4 x^{2} + 10 x + 4$

$- 4 x^{2} + 10 x + 4$

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