Question

(2x+14)(x+14)=952 solve for x

Answer 1

(2x+14)(x+14) – (2x)(x) = 952 thats really the equations

Answer 2

can u help me
(2x+14)(x+14) – (2x)(x) = 952

Answer 3

Expand it out

Answer 4

then bring over everything to one side making it all equal to zero

Answer 5

then you use the quadratic formula

Answer 6

When you expand it it becomes
2x^2 + 42x +101 = 0

Answer 7

Now use the quadratic formula

Answer 8

(2x+14)(x+14) = 2x(x+14) + 14(x+14)

(2x+14)(x+14) = 2x(x)+2x(14) + 14(x)+14(14)

(2x+14)(x+14) = 2x^2+28x + 14x+196

(2x+14)(x+14) = 2x^2+42x+196

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So

(2x+14)(x+14)

turns into

2x^2+42x+196

Answer 9

x = -3/2 (7+sqrt(217))

Answer 10

I got 2x^2 + 42x +101 = 0?

Answer 11

you're forgetting about the – (2x)(x) or -2x^2 portion

Answer 12

so thats the answer jim_thompson5910 or pottersheep

Answer 13

Solve for x over the real numbers:
(x+14) (2 x+14) = 952
Write the quadratic polynomial on the left hand side in standard form.
Expand out terms of the left hand side:
2 x^2+42 x+196 = 952
Write the quadratic equation in standard form.
Divide both sides by 2:
x^2+21 x+98 = 476
Solve the quadratic equation by completing the square.
Subtract 98 from both sides:
x^2+21 x = 378
Take one half of the coefficient of x and square it, then add it to both sides.
Add 441/4 to both sides:
x^2+21 x+441/4 = 1953/4
Factor the left hand side.
Write the left hand side as a square:
(x+21/2)^2 = 1953/4
Eliminate the exponent on the left hand side.
Take the square root of both sides:
x+21/2 = (3 sqrt(217))/2 or x+21/2 = -(3 sqrt(217))/2
Look at the first equation: Solve for x.
Subtract 21/2 from both sides:
x = (3 sqrt(217))/2-21/2 or x+21/2 = -(3 sqrt(217))/2
Look at the second equation: Solve for x.
Subtract 21/2 from both sides:
Answer: |
| x = (3 sqrt(217))/2-21/2 or x = -21/2-(3 sqrt(217))/2

Answer 14

so

(2x+14)(x+14) – (2x)(x) = 952

turns into

2x^2+42x+196 – 2x^2 = 952

42x+196 = 952

keep going to solve for x

Answer 15

so next u do 952-196

Answer 16

good, giving you

42x = 756

Answer 17

than u divide 756/42

Answer 18

so x = ???

Answer 19

18

Answer 20

thank u jim

Answer 21

x= 3/2 (sqrt(217)-7)

Answer 22

you got it

Answer 23

thank u jim

Answer 24

you're welcome