For this case we have the following expression:
[tex](-4x) ^ 2 = 100[/tex]
To look for the solution:
We apply root to both sides of the equation to eliminate the exponent:
[tex]-4x = \pm \sqrt {100}\\-4x = \pm10[/tex]
Then we have two solutions:
[tex]-4x = 10[/tex]
Dividing between -4 on both sides of the equation:
[tex]x = \frac {10} {- 4}\\x = - \frac {5} {2}[/tex]
The second solution:
[tex]-4x = -10[/tex]
Dividing between -4 on both sides of the equation:
[tex]x = \frac {-10} {- 4}\\x = \frac {5} {2}[/tex]
Answer:
[tex]x_ {1} = - \frac {5} {2}\\x_ {2} = \frac {5} {2}[/tex]
