Question

How to solve this equation: 4(x+3)squared = 25(x-2)squared.


Please provide an explanation

Answer 1

4(x + 3)² = 25(x - 2)²

Square root both sides:
2(x+ 3) = 5(x - 2)

Distribute 2 and 5:
2x + 6 = 5x - 10

Take away 2x from both sides:
6 = 3x - 10

Add 10 to both sides:
16 = 3x

Switch sides:
3x = 6

Divide both sides by 3:
x = 2

Answer: x = 2