Find a,b,c 4x+5x^2=8x-7

$4 x + 5 x^{2} = 8 x - 7$

Step 1

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

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

Subtract $8 x$ from both sides of the equation.

$4 x + 5 x^{2} - 8 x = - 7$

Add $7$ to both sides of the equation.

$4 x + 5 x^{2} - 8 x + 7 = 0$

Subtract $8 x$ from $4 x$ .

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

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.

$a = 5$ , $b = - 4$ , $c = 7$