6.00+6.00(1+x)/(.10-x)=145.20
solve for x.
To solve for x in the equation 6.00 + 6.00(1 + x) / (0.10 - x) = 145.20, we can follow these steps:
1. Remove the fraction by multiplying both sides of the equation by (0.10 - x):
(0.10 - x)(6.00 + 6.00(1 + x) / (0.10 - x)) = (0.10 - x)(145.20)
2. Distribute and simplify:
0.6 - 6x + 6(1 + x) = 14.52 - 145.2x
Simplify further:
0.6 - 6x + 6 + 6x = 14.52 - 145.2x
3. Combine like terms:
6.6 - 145.2x = 14.52 - 145.2x
4. Subtract 14.52 - 145.2x from both sides:
6.6 - 14.52 = 145.2x - 145.2x
5. Simplify the equation:
-7.92 = 0
6. The equation simplifies to -7.92 = 0, which is not true. This means there is no solution to the equation.