Solve 5-4 x ( -2) 2 x (-2)

Question

Simplify the expression

5 - 32 x^{2}

Show Solution

x_{1} = - \frac{10}{8}, x_{2} = \frac{10}{8}

Alternative Form

x_{1} \approx - 0.395285, x_{2} \approx 0.395285

Evaluate

5 - 4 x (- 2) \times 2 x (- 2)

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

5 - 4 x (- 2) \times 2 x (- 2) = 0

Multiply

More Steps

5 - 32 x^{2} = 0

Move the constant to the right-hand side and change its sign

- 32 x^{2} = 0 - 5

Removing 0 doesn't change the value,so remove it from the expression

- 32 x^{2} = - 5

Change the signs on both sides of the equation

32 x^{2} = 5

Divide both sides

\frac{32 x ^{2}}{32} = \frac{5}{32}

Divide the numbers

x^{2} = \frac{5}{32}

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

x = \pm \frac{5}{32}

Simplify the expression

More Steps

x = \pm \frac{10}{8}

Separate the equation into 2 possible cases

x = \frac{10}{8} x = - \frac{10}{8}

Solution

x_{1} = - \frac{10}{8}, x_{2} = \frac{10}{8}

Alternative Form

x_{1} \approx - 0.395285, x_{2} \approx 0.395285

Show Solution