145.20=6.00+6.00(1+x)/ (.10-x)
Solve for X
To solve for x in the equation 145.20 = 6.00 + 6.00(1+x) / (.10-x), we will follow these steps:
Step 1: Clear the parentheses
Multiply 6.00 by (1+x) inside the parentheses:
145.20 = 6.00 + 6.00(1+x) / (.10 - x)
145.20 = 6.00 + 6.00(1 + x) / .10 - 6.00x
Step 2: Distribute and combine like terms
Multiply 6.00 by (1+x):
145.20 = 6.00 + 6.00 + 6.00x - 6.00x^2 / .10 - 6.00x
Combine like terms:
145.20 = 12.00 + 6.00x - 6.00x^2 / .10 - 6.00x
Step 3: Simplify the expression
Multiply 6.00 by .10:
145.20 = 12.00 + 0.60x - 6.00x^2 - 0.60x
Combine like terms:
145.20 = 12.00 - 6.00x^2 + 0.60x - 0.60x
145.20 = 12.00 - 6.00x^2
Step 4: Rearrange the equation
Move 12.00 to the right side:
145.20 - 12.00 = -6.00x^2
133.20 = -6.00x^2
Step 5: Divide by -6.00
Divide both sides by -6.00 to solve for x:
133.20 / -6.00 = x^2
-22.20 = x^2
Step 6: Take the square root
To isolate x, take the square root of both sides of the equation:
√(-22.20) = √(x^2)
Since we can't take the square root of a negative number, there are no real solutions for x in this equation.