Algebra Examples

$9 x - 16 = 3 x - x^{2}$

Step 1

Move all the expressions to the left side of the equation.

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Step 1.1

Subtract $3 x$ from both sides of the equation.

$9 x - 16 - 3 x = - x^{2}$

Step 1.2

Add $x^{2}$ to both sides of the equation.

$9 x - 16 - 3 x + x^{2} = 0$

Step 2

Subtract $3 x$ from $9 x$ .

$6 x - 16 + x^{2} = 0$

Step 3

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c = 0$

Step 4

Move $- 16$ .

$6 x + x^{2} - 16 = 0$

Step 5

Reorder $6 x$ and $x^{2}$ .

$x^{2} + 6 x - 16 = 0$

Step 6