Solve x^2-12x+27 - ScanMath

Question

Factor the expression

(x - 9) (x - 3)

Evaluate

x^{2} - 12 x + 27

Rewrite the expression

x^{2} + (- 3 - 9) x + 27

Calculate

x^{2} - 3 x - 9 x + 27

Rewrite the expression

x \times x - x \times 3 - 9 x + 9 \times 3

Factor out x from the expression

x (x - 3) - 9 x + 9 \times 3

Factor out - 9 from the expression

x (x - 3) - 9 (x - 3)

Solution

(x - 9) (x - 3)

Show Solution

x_{1} = 3, x_{2} = 9

Evaluate

x^{2} - 12 x + 27

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

x^{2} - 12 x + 27 = 0

Factor the expression

More Steps

Evaluate

x^{2} - 12 x + 27

Rewrite the expression

x^{2} + (- 3 - 9) x + 27

Calculate

x^{2} - 3 x - 9 x + 27

Rewrite the expression

x \times x - x \times 3 - 9 x + 9 \times 3

Factor out x from the expression

x (x - 3) - 9 x + 9 \times 3

Factor out - 9 from the expression

x (x - 3) - 9 (x - 3)

Factor out x - 3 from the expression

(x - 9) (x - 3)

(x - 9) (x - 3) = 0

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

x - 9 = 0 x - 3 = 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 = 9 x - 3 = 0

Solve the equation for x

More Steps

Evaluate

x - 3 = 0

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

x = 0 + 3

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

x = 3

x = 9 x = 3

Solution

x_{1} = 3, x_{2} = 9

Show Solution