Solve -2(2-5x/4x-1) 3

Question

Simplify the expression

- \frac{12 - 15 x ^{2}}{2}

Show Solution

x_{1} = - \frac{2 5}{5}, x_{2} = \frac{2 5}{5}

Alternative Form

x_{1} \approx - 0.894427, x_{2} \approx 0.894427

Evaluate

- 2 (2 - (5 \times \frac{x}{4}) x - 1) \times 3

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

- 2 (2 - (5 \times \frac{x}{4}) x - 1) \times 3 = 0

Multiply the terms

- 2 (2 - \frac{5 x}{4} x - 1) \times 3 = 0

Multiply the terms

More Steps

- 2 (2 - \frac{5 x ^{2}}{4} - 1) \times 3 = 0

Subtract the terms

More Steps

- 2 (\frac{8 - 5 x ^{2}}{4} - 1) \times 3 = 0

Subtract the terms

More Steps

- 2 \times \frac{4 - 5 x ^{2}}{4} \times 3 = 0

Multiply

More Steps

- \frac{3 ( 4 - 5 x ^{2} )}{2} = 0

Simplify

- 3 (4 - 5 x^{2}) = 0

Change the sign

3 (4 - 5 x^{2}) = 0

Rewrite the expression

4 - 5 x^{2} = 0

Rewrite the expression

- 5 x^{2} = - 4

Change the signs on both sides of the equation

5 x^{2} = 4

Divide both sides

\frac{5 x ^{2}}{5} = \frac{4}{5}

Divide the numbers

x^{2} = \frac{4}{5}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm \frac{4}{5}

Simplify the expression

More Steps

x = \pm \frac{2 5}{5}

Separate the equation into 2 possible cases

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

Solution

x_{1} = - \frac{2 5}{5}, x_{2} = \frac{2 5}{5}

Alternative Form

x_{1} \approx - 0.894427, x_{2} \approx 0.894427

Show Solution