Solve 2x^(2)-4x-16=182

Question

2 x^{2} - 4 x - 16 = 182

Solve the quadratic equation

Solve by factoring

Solve using the quadratic formula

Solve by completing the square

x_{1} = - 9, x_{2} = 11

Evaluate

2 x^{2} - 4 x - 16 = 182

Move the expression to the left side

2 x^{2} - 4 x - 198 = 0

Factor the expression

More Steps

Evaluate

2 x^{2} - 4 x - 198

Rewrite the expression

2 x^{2} - 2 \times 2 x - 2 \times 99

Factor out 2 from the expression

2 (x^{2} - 2 x - 99)

Factor the expression

More Steps

Evaluate

x^{2} - 2 x - 99

Rewrite the expression

x^{2} + (9 - 11) x - 99

Calculate

x^{2} + 9 x - 11 x - 99

Rewrite the expression

x \times x + x \times 9 - 11 x - 11 \times 9

Factor out x from the expression

x (x + 9) - 11 x - 11 \times 9

Factor out - 11 from the expression

x (x + 9) - 11 (x + 9)

Factor out x + 9 from the expression

(x - 11) (x + 9)

2 (x - 11) (x + 9)

2 (x - 11) (x + 9) = 0

Divide the terms

(x - 11) (x + 9) = 0

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

x - 11 = 0 x + 9 = 0

Solve the equation for x

More Steps

Evaluate

x - 11 = 0

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

x = 0 + 11

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

x = 11

x = 11 x + 9 = 0

Solve the equation for x

More Steps

Evaluate

x + 9 = 0

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

x = 0 - 9

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

x = - 9

x = 11 x = - 9

Solution

x_{1} = - 9, x_{2} = 11

Show Solution