Question

factorise
$12 - 4x - {x}^{2}$
​

Answer 1

Answer o o:very easy

12×4x+1/4-2×4x×1/4x +5×4x-1/4 -2

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Simplifying

12 + -4x + -1x2 = 0

Solving

12 + -4x + -1x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(2 + -1x)(6 + x) = 0

Subproblem 1

Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying

2 + -1x = 0

Solving

2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.

2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0

0 + -1x = 0 + -2

-1x = 0 + -2

Combine like terms: 0 + -2 = -2

-1x = -2

Divide each side by '-1'.

x = 2

Simplifying

x = 2

Subproblem 2

Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying

6 + x = 0

Solving

6 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.

6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0

0 + x = 0 + -6

x = 0 + -6

Combine like terms: 0 + -6 = -6

x = -6

Simplifying

x = -6

Solution

x = {2, -6}

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