Solve (x^2)/2 (x^3)/3 = (x^4)/4 5/12

Evaluate

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

Multiply the terms

More Steps

\frac{x ^{5}}{6} = \frac{x ^{4}}{4} \times \frac{5}{12}

Multiply the terms

More Steps

\frac{x ^{5}}{6} = \frac{5 x ^{4}}{48}

Cross multiply

x^{5} \times 48 = 6 \times 5 x^{4}

Simplify the equation

48 x^{5} = 6 \times 5 x^{4}

Simplify the equation

48 x^{5} = 30 x^{4}

Rewrite the expression

6 \times 8 x^{5} = 6 \times 5 x^{4}

Evaluate

8 x^{5} = 5 x^{4}

Add or subtract both sides

8 x^{5} - 5 x^{4} = 0

Factor the expression

x^{4} (8 x - 5) = 0

Separate the equation into 2 possible cases

x^{4} = 0 8 x - 5 = 0

The only way a power can be 0 is when the base equals 0

x = 0 8 x - 5 = 0

Solve the equation

More Steps

x = 0 x = \frac{5}{8}

Solution

x_{1} = 0, x_{2} = \frac{5}{8}

Alternative Form

x_{1} = 0, x_{2} = 0.625

Solve the equation