Question

Factorize:
8. x²- 30x + 216.

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Answer 1

Answer:

x square -18 x minus 12 x + 216

x (x-18) -12 (x-18)

(x-18) (x-12)

Answer 2

Answer:

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Step-by-step explanation:

Simplifying

x2 + 30x + -216 = 0

Reorder the terms:

-216 + 30x + x2 = 0

Solving

-216 + 30x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(-36 + -1x)(6 + -1x) = 0

Subproblem 1

Set the factor '(-36 + -1x)' equal to zero and attempt to solve:

Simplifying

-36 + -1x = 0

Solving

-36 + -1x = 0

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

Add '36' to each side of the equation.

-36 + 36 + -1x = 0 + 36

Combine like terms: -36 + 36 = 0

0 + -1x = 0 + 36

-1x = 0 + 36

Combine like terms: 0 + 36 = 36

-1x = 36