Precalculus Examples

$x^{2} - 17 = 8 y + 39$

Step 1

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

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Step 1.1

Add $17$ to both sides of the equation.

$x^{2} = 8 y + 39 + 17$

Step 1.2

Add $39$ and $17$ .

$x^{2} = 8 y + 56$

Step 2

Factor $8$ out of $8 y + 56$ .

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Step 2.1

Factor $8$ out of $8 y$ .

$x^{2} = 8 (y) + 56$

Step 2.2

Factor $8$ out of $56$ .

$x^{2} = 8 y + 8 \cdot 7$

Step 2.3

Factor $8$ out of $8 y + 8 \cdot 7$ .

$x^{2} = 8 (y + 7)$