Solve Using the Quadratic Formula 5x^2-3x+10=5x^2

$5 x^{2} - 3 x + 10 = 5 x^{2}$

Step 1

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

Subtract $5 x^{2}$ from both sides of the equation.

$5 x^{2} - 3 x + 10 - 5 x^{2} = 0$

Combine the opposite terms in $5 x^{2} - 3 x + 10 - 5 x^{2}$ .

Subtract $5 x^{2}$ from $5 x^{2}$ .

$- 3 x + 10 + 0 = 0$

Add $- 3 x + 10$ and $0$ .

$- 3 x + 10 = 0$

Step 2

Subtract $10$ from both sides of the equation.

$- 3 x = - 10$

Step 3

Divide each term in $- 3 x = - 10$ by $- 3$ and simplify.

Divide each term in $- 3 x = - 10$ by $- 3$ .

$\frac{- 3 x}{- 3} = \frac{- 10}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} = \frac{- 10}{- 3}$

Divide $x$ by $1$ .

$x = \frac{- 10}{- 3}$

Simplify the right side.

Dividing two negative values results in a positive value.

$x = \frac{10}{3}$