Find a,b,c x(x+8)=9

$x (x + 8) = 9$

Step 1

Move all terms to the left side of the equation and simplify.

Simplify the left side.

Simplify $x (x + 8)$ .

Apply the distributive property.

$x \cdot x + x \cdot 8 = 9$

Simplify the expression.

Multiply $x$ by $x$ .

$x^{2} + x \cdot 8 = 9$

Move $8$ to the left of $x$ .

$x^{2} + 8 x = 9$

Subtract $9$ from both sides of the equation.

$x^{2} + 8 x - 9 = 0$

Step 2

Once the quadratic is in standard form, the values of $a$ , $b$ , and $c$ can be found.

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

Step 3

Use the standard form of the equation to find $a$ , $b$ , and $c$ for this quadratic.

$a = 1$ , $b = 8$ , $c = - 9$