Solve k^2-2k-24 - ScanMath

Question

Factor the expression

(k - 6) (k + 4)

Evaluate

k^{2} - 2 k - 24

Rewrite the expression

k^{2} + (4 - 6) k - 24

Calculate

k^{2} + 4 k - 6 k - 24

Rewrite the expression

k \times k + k \times 4 - 6 k - 6 \times 4

Factor out k from the expression

k (k + 4) - 6 k - 6 \times 4

Factor out - 6 from the expression

k (k + 4) - 6 (k + 4)

Solution

(k - 6) (k + 4)

Show Solution

k_{1} = - 4, k_{2} = 6

Evaluate

k^{2} - 2 k - 24

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

k^{2} - 2 k - 24 = 0

Factor the expression

More Steps

Evaluate

k^{2} - 2 k - 24

Rewrite the expression

k^{2} + (4 - 6) k - 24

Calculate

k^{2} + 4 k - 6 k - 24

Rewrite the expression

k \times k + k \times 4 - 6 k - 6 \times 4

Factor out k from the expression

k (k + 4) - 6 k - 6 \times 4

Factor out - 6 from the expression

k (k + 4) - 6 (k + 4)

Factor out k + 4 from the expression

(k - 6) (k + 4)

(k - 6) (k + 4) = 0

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

k - 6 = 0 k + 4 = 0

Solve the equation for k

More Steps

Evaluate

k - 6 = 0

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

k = 0 + 6

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

k = 6

k = 6 k + 4 = 0

Solve the equation for k

More Steps

Evaluate

k + 4 = 0

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

k = 0 - 4

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

k = - 4

k = 6 k = - 4

Solution

k_{1} = - 4, k_{2} = 6

Show Solution