Final answer:
The values of a, b, and c in the quadratic equation −6x^2 = −9x + 7, after rearranging it to the standard form, are a = -6, b = 9, and c = -7. These values are crucial for solving the equation using the quadratic formula.
Step-by-step explanation:
The quadratic equation presented is −6x2 = −9x + 7. First, we need to arrange it in the standard form ax2 + bx + c = 0 by moving all terms to one side:
-6x2 + 9x - 7 = 0
From this, we can identify the values of a, b, and c, which are necessary for using the quadratic formula to solve the equation. The coefficients are:
a = -6 (coefficient of x2)
b = 9 (coefficient of x)
c = -7 (constant term)
These values can be substituted into the quadratic formula to find the solutions to the equation.