Question

timed problem
score: 2/10 current time: 46.9
which equation is equivalent to the given equation?
-3 = 3x² - 6x
answer
3x² - 6x + 3 = 0 3x² + 6x - 3 = 0 3x² - 6x - 3 = 0 3x² + 6x + 3 = 0

Explanation:

Step1: Move -3 to the right

To make the left side zero, add 3 to both sides of the equation \(-3 = 3x^2 - 6x\). So we get \(0=3x^2 - 6x + 3\), which can be rewritten as \(3x^2 - 6x + 3 = 0\) by the symmetric property of equality.

Step2: Verify the equivalent equation

We check the options. The first option is \(3x^2 - 6x + 3 = 0\), which matches the equation we derived.

Answer:

\(3x^2 - 6x + 3 = 0\) (the first option among the given answer choices)