What is the only solution of 2x^2+8x=x^2-16

Move all terms to one side

2x^2 + 8x - x^2 + 16 = 0

Simplify 2x^2 + 8x - x^2 + 16 to x^2 + 8x + 16

x^2 + 8x + 16 = 0

Rewrite x^2 + 8x + 16 in the form a^2 + 2ab + b^2, where a = x and b = 4

x^2 + 2(x)(4) + 4^2 = 0

Use the Square of Sum: (a + b) = a^2 + 2ab + b^2

(x + 4)^2 = 0

Take the square root of both sides

x + 4 = 0

Subtract 4 from both sides

x = -4

the answer is 175.4379

step-by-step explanation:

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|