Basic Math Examples

$x K^{0.5} + x L^{0.5} = Q$

Step 1

Factor $x$ out of $x K^{0.5} + x L^{0.5}$ .

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Step 1.1

Factor $x$ out of $x K^{0.5}$ .

$x (K^{0.5}) + x L^{0.5} = Q$

Step 1.2

Factor $x$ out of $x L^{0.5}$ .

$x (K^{0.5}) + x (L^{0.5}) = Q$

Step 1.3

Factor $x$ out of $x (K^{0.5}) + x (L^{0.5})$ .

$x (K^{0.5} + L^{0.5}) = Q$

Step 2

Divide each term in $x (K^{0.5} + L^{0.5}) = Q$ by $K^{0.5} + L^{0.5}$ and simplify.

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Step 2.1

Divide each term in $x (K^{0.5} + L^{0.5}) = Q$ by $K^{0.5} + L^{0.5}$ .

$\frac{x (K^{0.5} + L^{0.5})}{K^{0.5} + L^{0.5}} = \frac{Q}{K^{0.5} + L^{0.5}}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $K^{0.5} + L^{0.5}$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{x (K^{0.5} + L^{0.5})}{K^{0.5} + L^{0.5}} = \frac{Q}{K^{0.5} + L^{0.5}}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{Q}{K^{0.5} + L^{0.5}}$