Factor completely.
5x^2 + 20x - 60

5 (x - 2) (x + 6)

Step-by-step explanation:

Pull out like factors :

 5x2 + 20x - 60  =   5 • (x2 + 4x - 12)

Factoring  x2 + 4x - 12  

The first term is,  x2  its coefficient is  1 .

The middle term is,  +4x  its coefficient is  4 .

The last term, "the constant", is  -12

Multiply the coefficient of the first term by the constant   1 • -12 = -12

Find two factors of  -12  whose sum equals the coefficient of the middle term, which is   4 .

Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  6 :   x2 - 2x + 6x - 12

Add up the first 2 terms, pulling out like factors : x • (x-2)

Add up the last 2 terms, pulling out common factors : 6 • (x-2)

Add up the four terms of step: (x+6)  •  (x-2) "Which is the desired factorization".      5 • (x + 6) • (x - 2)

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answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11

∠cbe and ∠deb are same-side interior angles.

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