Solve 3(x-5)-(82x)=4(x-7) 2x

Question

Solve the quadratic equation

Solve by factoring

Solve using the quadratic formula

Solve by completing the square

x_{1} = - \frac{15}{8}, x_{2} = - 1

Alternative Form

x_{1} = - 1.875, x_{2} = - 1

Evaluate

3 (x - 5) - 82 x = 4 (x - 7) \times 2 x

Multiply

More Steps

3 (x - 5) - 82 x = 8 x (x - 7)

Swap the sides

8 x (x - 7) = 3 (x - 5) - 82 x

Expand the expression

More Steps

8 x^{2} - 56 x = 3 (x - 5) - 82 x

Expand the expression

More Steps

8 x^{2} - 56 x = - 79 x - 15

Move the expression to the left side

8 x^{2} + 23 x + 15 = 0

Factor the expression

More Steps

(x + 1) (8 x + 15) = 0

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

x + 1 = 0 8 x + 15 = 0

Solve the equation for x

More Steps

x = - 1 8 x + 15 = 0

Solve the equation for x

More Steps

x = - 1 x = - \frac{15}{8}

Solution

x_{1} = - \frac{15}{8}, x_{2} = - 1

Alternative Form

x_{1} = - 1.875, x_{2} = - 1

Show Solution