Resolved: "What is x if 3x+2(x+5)2=15?"

Siena Duran

Answered question

2022-02-07

What is x if

3 x + 2 {(x + 5)}^{2} = 15 ?

patriette65s

Beginner2022-02-08Added 15 answers

Step 1

3 x + 2 {(x + 5)}^{2} = 15

3 x + 2 (x + 5) (x + 5) = 15

Foil

3 x + 2 (x^{2} + 10 x + 25) = 15

Distribute the 2

3 x + 2 x^{2} + 20 x + 50 = 15

Combine like terms:

2 x^{2} + 23 x + 35 = 0

you will need to use the quadratic formula to solve the roots:

x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}

a = 2

b = 23

c = 35

x = - \frac{23}{4} \pm \sqrt{\frac{249}{4}}

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