To solve the quadratic equation [tex]\(-5x^2 + 8 = 133\)[/tex], we need to isolate the term involving [tex]\(x^2\)[/tex].
Here's a step-by-step solution:
1. The first step is to move the constant term on the left side of the equation to the right side. This is achieved by subtracting 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 first step in solving the quadratic equation [tex]\( -5x^2 + 8 = 133 \)[/tex] is subtracting 8 from both sides of the equation.
