Finite Math Examples

$\sqrt{2 x} + 10 = 4$

Step 1

Subtract $4$ from both sides of the equation.

$\sqrt{2 x} + 10 - 4 = 0$

Step 2

Subtract $4$ from $10$ .

$\sqrt{2 x} + 6 = 0$

Step 3

Set the radicand in $\sqrt{2 x}$ less than $0$ to find where the expression is undefined.

$2 x < 0$

Step 4

Divide each term in $2 x < 0$ by $2$ and simplify.

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Step 4.1

Divide each term in $2 x < 0$ by $2$ .

$\frac{2 x}{2} < \frac{0}{2}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $2$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{2 x}{2} < \frac{0}{2}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x < \frac{0}{2}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $0$ by $2$ .

$x < 0$

Step 5

The equation is undefined where the denominator equals $0$ , the argument of a square root is less than $0$ , or the argument of a logarithm is less than or equal to $0$ .

$x < 0$

$(- \infty, 0)$

Step 6