Solve x^2 4x-5=4x^2 12x

Question

Solve the equation

x = - \frac{3 1210}{22}

Alternative Form

x \approx - 0.484365

Evaluate

x^{2} \times 4 x - 5 = 4 x^{2} \times 12 x

Multiply

More Steps

4 x^{3} - 5 = 4 x^{2} \times 12 x

Multiply

More Steps

4 x^{3} - 5 = 48 x^{3}

Move the expression to the left side

4 x^{3} - 5 - 48 x^{3} = 0

Subtract the terms

More Steps

- 44 x^{3} - 5 = 0

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

- 44 x^{3} = 0 + 5

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

- 44 x^{3} = 5

Change the signs on both sides of the equation

44 x^{3} = - 5

Divide both sides

\frac{44 x ^{3}}{44} = \frac{- 5}{44}

Divide the numbers

x^{3} = \frac{- 5}{44}

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

x^{3} = - \frac{5}{44}

Take the 3 -th root on both sides of the equation

3 x^{3} = 3 - \frac{5}{44}

Calculate

x = 3 - \frac{5}{44}

Solution

More Steps

x = - \frac{3 1210}{22}

Alternative Form

x \approx - 0.484365

Show Solution