Algebra Examples

$8 + 5 x - 3 x^{2} = 4 x + 1$

Step 1

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

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Step 1.1

Subtract $4 x$ from both sides of the equation.

$8 + 5 x - 3 x^{2} - 4 x = 1$

Step 1.2

Subtract $1$ from both sides of the equation.

$8 + 5 x - 3 x^{2} - 4 x - 1 = 0$

Step 2

Simplify $8 + 5 x - 3 x^{2} - 4 x - 1$ .

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Step 2.1

Subtract $1$ from $8$ .

$5 x - 3 x^{2} - 4 x + 7 = 0$

Step 2.2

Subtract $4 x$ from $5 x$ .

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

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 $- 3 x^{2} + x + 7$ .

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

Step 5