Question

(4x+3)(4x-3)-(4x-5)^2=46

Answer 1

Multiply the first two sets of parentheses.
Simplify the second set.
16x^2-9-16x^2+40x-25=46
Cancel opposites
-9+40x-25=46
Add like terms
-34+40x=46
Add 34 to both sides
40x=80
Divide by 40
X=2

Answer 2

x = 8

Explanation:

(4x + 3)(4x - 3) - (4x - 5)² = 46 ← expand factors using FOIL

16x² - 9 - (16x² - 40x + 25) = 46

16x² - 9 - 16x² + 40x - 25 = 46

40x - 34 = 46 ( add 34 to both sides )

40x = 80 ( divide both sides by 40 )

x = 2