Question

6x^2-2x+3x-1+3=6x^2-3x

Answer 1

6x²-2x+3x-1+3=6x²-3x
6x²-2x+3x+2-6x²+3x=0
-2x+2=0
-2x=-2
x=1

Answer 2

Let's simplify the equation step by step:

1. Start with the given equation: 6x^2 - 2x + 3x - 1 + 3 = 6x^2 - 3x

2. Combine like terms on both sides of the equation. On the left side, you can combine the x terms and the constants: 6x^2 + (3x - 2x) - 1 + 3 = 6x^2 - 3x

3. Simplify further: 6x^2 + x - 1 + 3 = 6x^2 - 3x

4. Combine constants on the left side: 6x^2 + x + 2 = 6x^2 - 3x

5. To isolate x on one side of the equation, you can subtract 6x^2 from both sides. This will cancel out the x^2 terms on both sides: x + 2 = -3x

6. Now, let's get x terms on one side of the equation and constants on the other. To do that, add 3x to both sides: x + 3x + 2 = 0

7. Combine like terms: 4x + 2 = 0

8. Finally, to isolate x, subtract 2 from both sides of the equation: 4x = -2

9. Divide by 4 to solve for x: x = -2/4

10. Simplify the fraction: x = -1/2

So, the solution to the equation is x = -1/2.