Algebra Examples

$x + 50 = \sqrt{2 A + 300}$

Step 1

Simplify $\sqrt{2 A + 300}$ .

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Step 1.1

Rewrite.

$x + 50 = 0 + 0 + \sqrt{2 A + 300}$

Step 1.2

Simplify by adding zeros.

$x + 50 = \sqrt{2 A + 300}$

Step 1.3

Factor $2$ out of $2 A + 300$ .

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Step 1.3.1

Factor $2$ out of $2 A$ .

$x + 50 = \sqrt{2 (A) + 300}$

Step 1.3.2

Factor $2$ out of $300$ .

$x + 50 = \sqrt{2 A + 2 \cdot 150}$

Step 1.3.3

Factor $2$ out of $2 A + 2 \cdot 150$ .

$x + 50 = \sqrt{2 (A + 150)}$

$x + 50 = \sqrt{2 (A + 150)}$

$x + 50 = \sqrt{2 (A + 150)}$

Step 2

Subtract $50$ from both sides of the equation.

$x = \sqrt{2 (A + 150)} - 50$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$