Basic Math Examples

${(a + 3)}^{2} = 1$

Step 1

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$a + 3 = \pm \sqrt{1}$

Step 2

Any root of $1$ is $1$ .

$a + 3 = \pm 1$

Step 3

The complete solution is the result of both the positive and negative portions of the solution.

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Step 3.1

First, use the positive value of the $\pm$ to find the first solution.

$a + 3 = 1$

Step 3.2

Move all terms not containing $a$ to the right side of the equation.

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Step 3.2.1

Subtract $3$ from both sides of the equation.

$a = 1 - 3$

Step 3.2.2

Subtract $3$ from $1$ .

$a = - 2$

Step 3.3

Next, use the negative value of the $\pm$ to find the second solution.

$a + 3 = - 1$

Step 3.4

Move all terms not containing $a$ to the right side of the equation.

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Step 3.4.1

Subtract $3$ from both sides of the equation.

$a = - 1 - 3$

Step 3.4.2

Subtract $3$ from $- 1$ .

$a = - 4$

Step 3.5

The complete solution is the result of both the positive and negative portions of the solution.

$a = - 2, - 4$