-3x²+2x=-1

Solve -3x^2 + 2x = -1.

• Move all terms to one side: -3x^2 + 2x + 1 = 0
• Multiply by -1: 3x^2 - 2x - 1 = 0
• Factor: (3x + 1)(x - 1) = 0

Thus x = 1 or x = -1/3.

Quick check:

• x = 1: -3(1)² + 2(1) = -3 + 2 = -1
• x = -1/3: -3(1/9) + 2(-1/3) = -1/3 - 2/3 = -1

Both are valid.