Solve 3x / 25x / 2 = 1 - x / 2

Question

Solve the equation

x_{1} = - 10, x_{2} = \frac{5}{3}

Alternative Form

x_{1} = - 10, x_{2} = 1. \dot{6}

Evaluate

(3 \times \frac{x}{25}) \times \frac{x}{2} = 1 - \frac{x}{2}

Remove the parentheses

3 \times \frac{x}{25} \times \frac{x}{2} = 1 - \frac{x}{2}

Multiply the terms

More Steps

\frac{3 x ^{2}}{50} = 1 - \frac{x}{2}

Multiply both sides of the equation by LCD

\frac{3 x ^{2}}{50} \times 50 = (1 - \frac{x}{2}) \times 50

Simplify the equation

3 x^{2} = (1 - \frac{x}{2}) \times 50

Simplify the equation

More Steps

3 x^{2} = 50 - 25 x

Move the expression to the left side

3 x^{2} - (50 - 25 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

3 x^{2} - 50 + 25 x = 0

Factor the expression

More Steps

(x + 10) (3 x - 5) = 0

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

x + 10 = 0 3 x - 5 = 0

Solve the equation for x

More Steps

x = - 10 3 x - 5 = 0

Solve the equation for x

More Steps

x = - 10 x = \frac{5}{3}

Solution

x_{1} = - 10, x_{2} = \frac{5}{3}

Alternative Form

x_{1} = - 10, x_{2} = 1. \dot{6}

Show Solution

Solve the equation

Graph