How do you solve ${(5 x + 5)}^{2} = 100$ $(5x + 5)^2 = 100$ ?

Question

1428 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-08-13T23:14:28

$x = \frac{8}{5}, or x = - \frac{12}{5}$ $x = 8/5, or x = -12/5$

We do not have to multiply out the brackets first in order to solve this equation. Find the square root(s) of both sides

${(5 x + 5)}^{2} = 100$ $(5x +5)^2 = 100$

$5 x + 2 = \pm 10$ $5x +2 = +-10$

There are two possibilities:

$5 x + 2 = + 10 or 5 x + 2 = - 10$ $5x +2 = +10 " or "5x +2 = -10$

$5 x = 85 x = - 12$ $5x = 8 " " 5x = -12$

$x = \frac{8}{5} x = - \frac{12}{5}$ $x = 8/5" " x = -12/5$

How do you solve (5x+5)2=100 (5x + 5)^2 = 100 ?