4x2 + 28x + 49 = 4x2 + 14x + 14x + 49 = 2x(2x + 7) + 7(2x + 7) = (2x + 7)(2x + 7) or (2x + 7)2
2x + 3 = 4x - 7 <=> 4x - 7 = 2x + 3 <=> 2x = 10 <=> x = 5 - - - 2x + 3 = 4x - 7 Take the 2x from each side of the equation. 3 = 2x - 7 Get the numerals together 7 + 3 = 2x Therefore 10 = 2x Therefore 5 = x
2x+3 = 7 2x = 7-3 2x = 4 x = 2
x+7 = 2x 2x = x+7 2x-x = 7 x = 7
2x + 52 = 7 2x + 25 = 7 2x = 7 - 25 2x = -18 x = -18/2 x = -9
4x2 + 28x + 49 = 4x2 + 14x + 14x + 49 = 2x(2x + 7) + 7(2x + 7) = (2x + 7)(2x + 7) or (2x + 7)2
4x2+28x+49 = (2x+7)(2x+7) when factored
2x + 3 = 4x - 7 <=> 4x - 7 = 2x + 3 <=> 2x = 10 <=> x = 5 - - - 2x + 3 = 4x - 7 Take the 2x from each side of the equation. 3 = 2x - 7 Get the numerals together 7 + 3 = 2x Therefore 10 = 2x Therefore 5 = x
2x+3 = 7 2x = 7-3 2x = 4 x = 2
x+7 = 2x 2x = x+7 2x-x = 7 x = 7
2x + 52 = 7 2x + 25 = 7 2x = 7 - 25 2x = -18 x = -18/2 x = -9
-5
Simplifying 4x + -5 = 2x + 7 Reorder the terms: -5 + 4x = 2x + 7 Solving -5 + 4x = 7 + 2x Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 4x + -2x = 7 + 2x + -2x Combine like terms: 4x + -2x = 2x -5 + 2x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 2x = 7 + 0 -5 + 2x = 7 Add '5' to each side of the equation. -5 + 5 + 2x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 7 + 5 2x = 7 + 5 Combine like terms: 7 + 5 = 12 2x = 12 Divide each side by '2'. x = 6 (your answer)
f(x)= (x-7) /(-2x+7)(2x+5) set -2x+7=0 -2x=-7 x=7/2 set 2x+5=0 2x=-5 x=-5/2 x=7/2 and x=-5/2 are vertical asymptotes.
6x - 8 + 2x - 5 = 7 - 2x ?
2x = 17 then x = 8.5 2x+1=7 then x = 3 2x - 1 = 7 then x = 4 which is your problem
2x+3<7 2x<7-3 2x<4 x<2