Question

Solve the equation below
|6w+4|=2w-10

Answer 1

The equation
`\(|6w+4|=2w-10\)` has no solutions.

You can verify this by considering the two cases separately:

1. When
`\(6w+4 = 2w-10\)`, which simplifies to
`\(4w = -14\)`, or
`\(w = -(7)/(2)\)`. However, if you substitute this value back into the original equation, you'll find that the absolute value of a negative number is not equal to a negative number.

2. When
`\(6w+4 = -(2w-10)\)`, which simplifies to
`\(8w = 6\)`, or
`\(w = (3)/(4)\)`. Again, if you substitute this value back into the original equation, you'll find that the absolute value of a positive number is not equal to a negative number.

Therefore, there are no solutions to this equation.