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

Question

Simplify the expression

- x^{2} + 6 x - 8

Evaluate

- (x - 4) (x - 2)

Calculate

(- x + 4) (x - 2)

Apply the distributive property

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

Multiply the terms

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

Use the commutative property to reorder the terms

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

Multiply the numbers

- x^{2} - (- 2 x) + 4 x - 8

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

- x^{2} + 2 x + 4 x - 8

Solution

More Steps

Evaluate

2 x + 4 x

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

(2 + 4) x

Add the numbers

6 x

- x^{2} + 6 x - 8

Show Solution

Find the roots

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

Evaluate

- (x - 4) (x - 2)

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

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

Calculate

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

Change the sign

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

Separate the equation into 2 possible cases

x - 4 = 0 x - 2 = 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 = 4 x - 2 = 0

Solve the equation

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 = 4 x = 2

Solution

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

Show Solution