Basic Math Examples

$(2 + w) = w^{2} + (w + 1)$

Step 1

Since $w$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$w^{2} + w + 1 = 2 + w$

Step 2

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

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Step 2.1

Subtract $w$ from both sides of the equation.

$w^{2} + w + 1 - w = 2$

Step 2.2

Combine the opposite terms in $w^{2} + w + 1 - w$ .

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Step 2.2.1

Subtract $w$ from $w$ .

$w^{2} + 0 + 1 = 2$

Step 2.2.2

Add $w^{2}$ and $0$ .

$w^{2} + 1 = 2$

Step 3

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

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Step 3.1

Subtract $1$ from both sides of the equation.

$w^{2} = 2 - 1$

Step 3.2

Subtract $1$ from $2$ .

$w^{2} = 1$

Step 4

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

$w = \pm \sqrt{1}$

Step 5

Any root of $1$ is $1$ .

$w = \pm 1$

Step 6

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

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Step 6.1

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

$w = 1$

Step 6.2

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

$w = - 1$

Step 6.3

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

$w = 1, - 1$