Basic Math Examples

$a^{2} + 4 a + 3 = a^{2} + 2 a$

Step 1

Move all terms containing $a$ to the left side of the equation.

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Step 1.1

Subtract $a^{2}$ from both sides of the equation.

$a^{2} + 4 a + 3 - a^{2} = 2 a$

Step 1.2

Subtract $2 a$ from both sides of the equation.

$a^{2} + 4 a + 3 - a^{2} - 2 a = 0$

Step 1.3

Combine the opposite terms in $a^{2} + 4 a + 3 - a^{2} - 2 a$ .

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Step 1.3.1

Subtract $a^{2}$ from $a^{2}$ .

$4 a + 3 + 0 - 2 a = 0$

Step 1.3.2

Add $4 a + 3$ and $0$ .

$4 a + 3 - 2 a = 0$

Step 1.4

Subtract $2 a$ from $4 a$ .

$2 a + 3 = 0$

Step 2

Subtract $3$ from both sides of the equation.

$2 a = - 3$

Step 3

Divide each term in $2 a = - 3$ by $2$ and simplify.

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Step 3.1

Divide each term in $2 a = - 3$ by $2$ .

$\frac{2 a}{2} = \frac{- 3}{2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{2 a}{2} = \frac{- 3}{2}$

Step 3.2.1.2

Divide $a$ by $1$ .

$a = \frac{- 3}{2}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Move the negative in front of the fraction.

$a = - \frac{3}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$a = - \frac{3}{2}$

Decimal Form:

$a = - 1.5$

Mixed Number Form:

$a = - 1 \frac{1}{2}$