Solve -1x/5x=-2/3

Question

Solve the equation(The complex numbers system)

x_{1} = - \frac{30}{3} i, x_{2} = \frac{30}{3} i

Alternative Form

x_{1} \approx - 1.825742 i, x_{2} \approx 1.825742 i

Show Solution

Solve using the quadratic formula

Solve using the PQ formula

x_{1} = - \frac{30}{3}, x_{2} = \frac{30}{3}

Alternative Form

x_{1} \approx - 1.825742, x_{2} \approx 1.825742

Evaluate

- (1 \times \frac{x}{5}) x = - \frac{2}{3}

Remove the parentheses

- 1 \times \frac{x}{5} x = - \frac{2}{3}

Multiply the terms

More Steps

- \frac{x ^{2}}{5} = - \frac{2}{3}

Rewrite the expression

- \frac{1}{5} x^{2} = - \frac{2}{3}

Move the expression to the left side

- \frac{1}{5} x^{2} + \frac{2}{3} = 0

Multiply both sides

\frac{1}{5} x^{2} - \frac{2}{3} = 0

Multiply both sides

15 (\frac{1}{5} x^{2} - \frac{2}{3}) = 15 \times 0

Calculate

3 x^{2} - 10 = 0

Substitute a= 3,b= 0 and c= - 10 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{0 \pm 0 ^{2} - 4 \times 3 ( - 10 )}{2 \times 3}

Simplify the expression

x = \frac{0 \pm 0 ^{2} - 4 \times 3 ( - 10 )}{6}

Simplify the expression

More Steps

x = \frac{0 \pm 120}{6}

Simplify the radical expression

More Steps

x = \frac{0 \pm 2 30}{6}

Separate the equation into 2 possible cases

x = \frac{0 + 2 30}{6} x = \frac{0 - 2 30}{6}

Simplify the expression

More Steps

x = \frac{30}{3} x = \frac{0 - 2 30}{6}

Simplify the expression

More Steps

x = \frac{30}{3} x = - \frac{30}{3}

Solution

x_{1} = - \frac{30}{3}, x_{2} = \frac{30}{3}

Alternative Form

x_{1} \approx - 1.825742, x_{2} \approx 1.825742

Show Solution