Solve -4x^34 = -59x

Question

Solve the equation

x_{1} = - \frac{59}{4}, x_{2} = 0, x_{3} = \frac{59}{4}

Alternative Form

x_{1} \approx - 1.920286, x_{2} = 0, x_{3} \approx 1.920286

Evaluate

- 4 x^{3} \times 4 = - 59 x

Multiply the terms

- 16 x^{3} = - 59 x

Add or subtract both sides

- 16 x^{3} - (- 59 x) = 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 16 x^{3} + 59 x = 0

Factor the expression

x (- 16 x^{2} + 59) = 0

Separate the equation into 2 possible cases

x = 0 - 16 x^{2} + 59 = 0

Solve the equation

More Steps

Evaluate

- 16 x^{2} + 59 = 0

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

- 16 x^{2} = 0 - 59

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

- 16 x^{2} = - 59

Change the signs on both sides of the equation

16 x^{2} = 59

Divide both sides

\frac{16 x ^{2}}{16} = \frac{59}{16}

Divide the numbers

x^{2} = \frac{59}{16}

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

x = \pm \frac{59}{16}

Simplify the expression

More Steps

Evaluate

\frac{59}{16}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{59}{16}

Simplify the radical expression

\frac{59}{4}

x = \pm \frac{59}{4}

Separate the equation into 2 possible cases

x = \frac{59}{4} x = - \frac{59}{4}

x = 0 x = \frac{59}{4} x = - \frac{59}{4}

Solution

x_{1} = - \frac{59}{4}, x_{2} = 0, x_{3} = \frac{59}{4}

Alternative Form

x_{1} \approx - 1.920286, x_{2} = 0, x_{3} \approx 1.920286

Show Solution

Solve the equation

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