Solve (4x^5) / 3 = (5x 1) / 2

Evaluate

\frac{4 x ^{5}}{3} = \frac{5 x \times 1}{2}

Multiply the terms

\frac{4 x ^{5}}{3} = \frac{5 x}{2}

Cross multiply

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

Simplify the equation

8 x^{5} = 3 \times 5 x

Simplify the equation

8 x^{5} = 15 x

Add or subtract both sides

8 x^{5} - 15 x = 0

Factor the expression

x (8 x^{4} - 15) = 0

Separate the equation into 2 possible cases

x = 0 8 x^{4} - 15 = 0

Solve the equation

More Steps

x = 0 x = \frac{4 30}{2} x = - \frac{4 30}{2}

Solution

x_{1} = - \frac{4 30}{2}, x_{2} = 0, x_{3} = \frac{4 30}{2}

Alternative Form

x_{1} \approx - 1.170174, x_{2} = 0, x_{3} \approx 1.170174

Solve the equation