Solve 1 \frac{192x}{7}=4x^2 256

Evaluate

1 \times \frac{192 x}{7} = 4 x^{2} \times 256

Calculate

\frac{192 x}{7} = 4 x^{2} \times 256

Multiply the terms

\frac{192 x}{7} = 1024 x^{2}

Swap the sides

1024 x^{2} = \frac{192 x}{7}

Multiply both sides of the equation by LCD

1024 x^{2} \times 7 = \frac{192 x}{7} \times 7

Simplify the equation

7168 x^{2} = \frac{192 x}{7} \times 7

Simplify the equation

7168 x^{2} = 192 x

Move the expression to the left side

7168 x^{2} - 192 x = 0

Factor the expression

More Steps

64 x (112 x - 3) = 0

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

112 x - 3 = 0 64 x = 0

Solve the equation for x

More Steps

x = \frac{3}{112} 64 x = 0

Solve the equation for x

x = \frac{3}{112} x = 0

Solution

x_{1} = 0, x_{2} = \frac{3}{112}

Alternative Form

x_{1} = 0, x_{2} = 0.0267 \dot{8} 5714 \dot{2}

Solve the quadratic equation