To solve the quadratic equation [tex]\(-5x^2 + 8 = 133\)[/tex], we start by isolating the term containing [tex]\(x^2\)[/tex].
Here is a detailed step-by-step solution:
1. Subtract 8 from both sides of the equation:
[tex]\[
-5x^2 + 8 - 8 = 133 - 8
\][/tex]
Simplifying both sides, we get:
[tex]\[
-5x^2 = 125
\][/tex]
So, the correct first step is subtracting 8 from both sides of the equation.