Solve Using the Quadratic Formula 2x^2-6x-7=2x^2

$2 x^{2} - 6 x - 7 = 2 x^{2}$

Step 1

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

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

$2 x^{2} - 6 x - 7 - 2 x^{2} = 0$

Combine the opposite terms in $2 x^{2} - 6 x - 7 - 2 x^{2}$ .

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

$- 6 x - 7 + 0 = 0$

Add $- 6 x - 7$ and $0$ .

$- 6 x - 7 = 0$

Step 2

Add $7$ to both sides of the equation.

$- 6 x = 7$

Step 3

Divide each term in $- 6 x = 7$ by $- 6$ and simplify.

Divide each term in $- 6 x = 7$ by $- 6$ .

$\frac{- 6 x}{- 6} = \frac{7}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 x}{- 6} = \frac{7}{- 6}$

Divide $x$ by $1$ .

$x = \frac{7}{- 6}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{7}{6}$