How many solutions does 2(x-6)+2x=4(x-3) have?
1 answer:
You might be interested in
Answer:
x = -1
Step-by-step explanation:
First, we can translate this statement to the equation
Subtracting 4x from both sides gives us a quadratic equation:
From here, we can factor the expression on the right to give us the equation's two solutions. The factored form will look like
We need a + b = -4 and ab = -5, and picking a = 1 and b = -5 do the job there. Our expression factors then to (x + 1)(x - 5), giving us the equation
And the solutions x = -1 and x = 5. Since we're only looking for the negative solution, x = -1 is the one we want.