Final answer:
The equation has two possible solutions for x.
Step-by-step explanation:
The equation -4x+9=-4x+9-4x+9=-4x+9
We rearrange this into a quadratic equation that equals 0:
x²+0.00088x-0.000484=0
Now we use the quadratic equation to solve for the two possible values of x:
x = (-0.00088 ± √(0.00088² - 4(1)(-0.000484))) / (2(1))
x = (-0.00088 ± √(0.000774672 - 0.001936)) / 2
x = (-0.00088 ± √(-0.001161328)) / 2
x = (-0.00088 ± 0.034091)/2
So, there are two possible solutions for x.