Solve -3 -2(x^2) = 4x - 7

Evaluate

- 3 - 2 x^{2} = 4 x - 7

Move the expression to the left side

4 - 2 x^{2} - 4 x = 0

Rewrite in standard form

- 2 x^{2} - 4 x + 4 = 0

Multiply both sides

2 x^{2} + 4 x - 4 = 0

Substitute a= 2,b= 4 and c= - 4 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 4 \pm 4 ^{2} - 4 \times 2 ( - 4 )}{2 \times 2}

Simplify the expression

x = \frac{- 4 \pm 4 ^{2} - 4 \times 2 ( - 4 )}{4}

Simplify the expression

More Steps

x = \frac{- 4 \pm 48}{4}

Simplify the radical expression

More Steps

x = \frac{- 4 \pm 4 3}{4}

Separate the equation into 2 possible cases

x = \frac{- 4 + 4 3}{4} x = \frac{- 4 - 4 3}{4}

Simplify the expression

More Steps

x = - 1 + 3 x = \frac{- 4 - 4 3}{4}

Simplify the expression

More Steps

x = - 1 + 3 x = - 1 - 3

Solution

x_{1} = - 1 - 3, x_{2} = - 1 + 3

Alternative Form

x_{1} \approx - 2.732051, x_{2} \approx 0.732051

Solve the quadratic equation