Solve 3x 1=3/4x^25/8

Evaluate

3 x \times 1 = \frac{3}{4} x^{2} \times \frac{5}{8}

Multiply the terms

3 x = \frac{3}{4} x^{2} \times \frac{5}{8}

Multiply the terms

More Steps

3 x = \frac{15}{32} x^{2}

Swap the sides

\frac{15}{32} x^{2} = 3 x

Move the expression to the left side

\frac{15}{32} x^{2} - 3 x = 0

Factor the expression

More Steps

\frac{3}{32} x (5 x - 32) = 0

When the product of factors equals 0,at least one factor is 0

5 x - 32 = 0 \frac{3}{32} x = 0

Solve the equation for x

More Steps

x = \frac{32}{5} \frac{3}{32} x = 0

Solve the equation for x

x = \frac{32}{5} x = 0

Solution

x_{1} = 0, x_{2} = \frac{32}{5}

Alternative Form

x_{1} = 0, x_{2} = 6.4

Solve the quadratic equation