Algebra Examples

$x^{2} - 10 x - 6 = 2 x + 1$

Step 1

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

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Step 1.1

Subtract $2 x$ from both sides of the equation.

$x^{2} - 10 x - 6 - 2 x = 1$

Step 1.2

Subtract $1$ from both sides of the equation.

$x^{2} - 10 x - 6 - 2 x - 1 = 0$

Step 2

Simplify $x^{2} - 10 x - 6 - 2 x - 1$ .

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Step 2.1

Subtract $2 x$ from $- 10 x$ .

$x^{2} - 12 x - 6 - 1 = 0$

Step 2.2

Subtract $1$ from $- 6$ .

$x^{2} - 12 x - 7 = 0$

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

The standard form is $x^{2} - 12 x - 7$ .

$x^{2} - 12 x - 7 = 0$

Step 5