Question

15x²+(3x-2)(4-5x)=14

Answer 1

15x²+(3x-2)(4-5x)=14
15x²+12x-15x²-8+10x=14
12x + 10 x = 14 +8
22x = 22
22 : 22
x = 1

Answer 2

To solve the quadratic equation 15x² + (3x - 2)(4 - 5x) = 14, follow these steps:

1. Expand the right side of the equation: 15x² + (3x - 2)(4 - 5x) = 14 15x² + (12x - 8 - 15x²) = 14

2. Combine like terms: 12x - 8 = 14

3. Add 8 to both sides of the equation: 12x = 14 + 8 12x = 22

4. Finally, divide both sides by 12 to solve for x: x = 22 / 12 x = 11 / 6

So, the solution to the equation is x = 11/6.