Solve 3x^2 -60= 24x

Question

Solve the quadratic equation

Solve by factoring

Solve using the quadratic formula

Solve by completing the square

x_{1} = - 2, x_{2} = 10

Evaluate

3 x^{2} - 60 = 24 x

Move the expression to the left side

3 x^{2} - 60 - 24 x = 0

Factor the expression

More Steps

Evaluate

3 x^{2} - 60 - 24 x

Evaluate

3 x^{2} - 24 x - 60

Rewrite the expression

3 x^{2} - 3 \times 8 x - 3 \times 20

Factor out 3 from the expression

3 (x^{2} - 8 x - 20)

Factor the expression

More Steps

Evaluate

x^{2} - 8 x - 20

Rewrite the expression

x^{2} + (2 - 10) x - 20

Calculate

x^{2} + 2 x - 10 x - 20

Rewrite the expression

x \times x + x \times 2 - 10 x - 10 \times 2

Factor out x from the expression

x (x + 2) - 10 x - 10 \times 2

Factor out - 10 from the expression

x (x + 2) - 10 (x + 2)

Factor out x + 2 from the expression

(x - 10) (x + 2)

3 (x - 10) (x + 2)

3 (x - 10) (x + 2) = 0

Divide the terms

(x - 10) (x + 2) = 0

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

x - 10 = 0 x + 2 = 0

Solve the equation for x

More Steps

Evaluate

x - 10 = 0

Move the constant to the right-hand side and change its sign

x = 0 + 10

Removing 0 doesn't change the value,so remove it from the expression

x = 10

x = 10 x + 2 = 0

Solve the equation for x

More Steps

Evaluate

x + 2 = 0

Move the constant to the right-hand side and change its sign

x = 0 - 2

Removing 0 doesn't change the value,so remove it from the expression

x = - 2

x = 10 x = - 2

Solution

x_{1} = - 2, x_{2} = 10

Show Solution