# How do you five the standard form of the following quadratic equations and identify the constants a, b and c 3x^2 = 5 - 2x?

Oct 30, 2016

The standard form of the quadratic equation is $3 {x}^{2} + 2 x - 5 = 0$, $a = 3$, $b = 2$, and $c = - 5$.

#### Explanation:

Standard form of a quadratic equation is $a {x}^{2} + b x + c = 0$, so we will use inverse operations to get all the terms on the left , equal to $0$ on the right.

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

Now that the quadratic equation is in standard form, we can identify the constants $a$, $b$, and $c$.

$a = 3$, $b = 2$, and $c = - 5$