Write in Standard Form 6-x^2+8x=5+4x

$6 - x^{2} + 8 x = 5 + 4 x$

Step 1

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

Subtract $5$ from both sides of the equation.

$6 - x^{2} + 8 x - 5 = 4 x$

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

$6 - x^{2} + 8 x - 5 - 4 x = 0$

Step 2

Simplify $6 - x^{2} + 8 x - 5 - 4 x$ .

Subtract $5$ from $6$ .

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

Subtract $4 x$ from $8 x$ .

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

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 $- x^{2} + 4 x + 1$ .

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

Step 5