Solve – 10 – 5x–7x 4x

Evaluate

- 10 - 5 x - 7 x \times 4 x

To find the roots of the expression,set the expression equal to 0

- 10 - 5 x - 7 x \times 4 x = 0

Multiply

More Steps

- 10 - 5 x - 28 x^{2} = 0

Rewrite in standard form

- 28 x^{2} - 5 x - 10 = 0

Multiply both sides

28 x^{2} + 5 x + 10 = 0

Substitute a= 28,b= 5 and c= 10 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 5 \pm 5 ^{2} - 4 \times 28 \times 10}{2 \times 28}

Simplify the expression

x = \frac{- 5 \pm 5 ^{2} - 4 \times 28 \times 10}{56}

Simplify the expression

More Steps

x = \frac{- 5 \pm - 1095}{56}

Simplify the radical expression

More Steps

x = \frac{- 5 \pm 1095 \times i}{56}

Separate the equation into 2 possible cases

x = \frac{- 5 + 1095 \times i}{56} x = \frac{- 5 - 1095 \times i}{56}

Simplify the expression

More Steps

x = - \frac{5}{56} + \frac{1095}{56} i x = \frac{- 5 - 1095 \times i}{56}

Simplify the expression

More Steps

x = - \frac{5}{56} + \frac{1095}{56} i x = - \frac{5}{56} - \frac{1095}{56} i

Solution

x_{1} = - \frac{5}{56} - \frac{1095}{56} i, x_{2} = - \frac{5}{56} + \frac{1095}{56} i

Alternative Form

x_{1} \approx - 0.089 \dot{2} 8571 \dot{4} - 0.590907 i, x_{2} \approx - 0.089 \dot{2} 8571 \dot{4} + 0.590907 i

Simplify the expression