Solve 2(x-6)(x-4)

Question

Simplify the expression

2 x^{2} - 20 x + 48

Evaluate

2 (x - 6) (x - 4)

Multiply the terms

More Steps

Evaluate

2 (x - 6)

Apply the distributive property

2 x - 2 \times 6

Multiply the numbers

2 x - 12

(2 x - 12) (x - 4)

Apply the distributive property

2 x \times x - 2 x \times 4 - 12 x - (- 12 \times 4)

Multiply the terms

2 x^{2} - 2 x \times 4 - 12 x - (- 12 \times 4)

Multiply the numbers

2 x^{2} - 8 x - 12 x - (- 12 \times 4)

Multiply the numbers

2 x^{2} - 8 x - 12 x - (- 48)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

2 x^{2} - 8 x - 12 x + 48

Solution

More Steps

Evaluate

- 8 x - 12 x

Collect like terms by calculating the sum or difference of their coefficients

(- 8 - 12) x

Subtract the numbers

- 20 x

2 x^{2} - 20 x + 48

Show Solution

Find the roots

x_{1} = 4, x_{2} = 6

Evaluate

2 (x - 6) (x - 4)

To find the roots of the expression,set the expression equal to 0

2 (x - 6) (x - 4) = 0

Elimination the left coefficient

(x - 6) (x - 4) = 0

Separate the equation into 2 possible cases

x - 6 = 0 x - 4 = 0

Solve the equation

More Steps

Evaluate

x - 6 = 0

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

x = 0 + 6

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

x = 6

x = 6 x - 4 = 0

Solve the equation

More Steps

Evaluate

x - 4 = 0

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

x = 0 + 4

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

x = 4

x = 6 x = 4

Solution

x_{1} = 4, x_{2} = 6

Show Solution