Algebra Examples

$x^{2} - 5 x - 5 = 2 x + 3$

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.

$x^{2} - 5 x - 5 - 2 x = 3$

Step 1.2

Subtract $3$ from both sides of the equation.

$x^{2} - 5 x - 5 - 2 x - 3 = 0$

Step 2

Simplify $x^{2} - 5 x - 5 - 2 x - 3$ .

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Step 2.1

Subtract $2 x$ from $- 5 x$ .

$x^{2} - 7 x - 5 - 3 = 0$

Step 2.2

Subtract $3$ from $- 5$ .

$x^{2} - 7 x - 8 = 0$

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 $x^{2} - 7 x - 8$ .

$x^{2} - 7 x - 8 = 0$

Step 5