To identify the values of [tex]\(a\)[/tex], [tex]\(b\)[/tex], and [tex]\(c\)[/tex] for the quadratic equation [tex]\(-6x^2 = -9x + 7\)[/tex], we first need to rewrite it in the standard form of a quadratic equation, which is [tex]\(ax^2 + bx + c = 0\)[/tex].
Given:
[tex]\[
-6x^2 = -9x + 7
\][/tex]
First, let's move all the terms to one side of the equation to set it equal to zero:
[tex]\[
-6x^2 + 9x - 7 = 0
\][/tex]
Now, the equation is in the standard form [tex]\(ax^2 + bx + c = 0\)[/tex], where:
[tex]\[
a = -6, \quad b = 9, \quad c = -7
\][/tex]
Thus, the correct values are:
[tex]\[
a = -6, \quad b = 9, \quad c = -7
\][/tex]
So, the correct choice from the given options is:
[tex]\[
a = -6, b = 9, c = -7
\][/tex]
