Solve Using the Quadratic Formula 2^2=-3x+20

$2^{2} = - 3 x + 20$

Step 1

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

Simplify the left side.

Raise $2$ to the power of $2$ .

$4 = - 3 x + 20$

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

Add $3 x$ to both sides of the equation.

$4 + 3 x = 20$

Subtract $20$ from both sides of the equation.

$4 + 3 x - 20 = 0$

Subtract $20$ from $4$ .

$3 x - 16 = 0$

Step 2

Add $16$ to both sides of the equation.

$3 x = 16$

Step 3

Divide each term in $3 x = 16$ by $3$ and simplify.

Divide each term in $3 x = 16$ by $3$ .

$\frac{3 x}{3} = \frac{16}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{16}{3}$

Divide $x$ by $1$ .

$x = \frac{16}{3}$