Solve -2(4x^2)-5x-5=-48

Evaluate

- 2 \times 4 x^{2} - 5 x - 5 = - 48

Multiply the numbers

- 8 x^{2} - 5 x - 5 = - 48

Move the expression to the left side

- 8 x^{2} - 5 x + 43 = 0

Multiply both sides

8 x^{2} + 5 x - 43 = 0

Substitute a= 8,b= 5 and c= - 43 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 5 \pm 5 ^{2} - 4 \times 8 ( - 43 )}{2 \times 8}

Simplify the expression

x = \frac{- 5 \pm 5 ^{2} - 4 \times 8 ( - 43 )}{16}

Simplify the expression

More Steps

x = \frac{- 5 \pm 1401}{16}

Separate the equation into 2 possible cases

x = \frac{- 5 + 1401}{16} x = \frac{- 5 - 1401}{16}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

x = \frac{- 5 + 1401}{16} x = - \frac{5 + 1401}{16}

Solution

x_{1} = - \frac{5 + 1401}{16}, x_{2} = \frac{- 5 + 1401}{16}

Alternative Form

x_{1} \approx - 2.651871, x_{2} \approx 2.026871

Solve the quadratic equation