Solve for x
x = -\frac{500000}{399999} = -1\frac{100001}{399999} \approx -1.250003125
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4x+5=x\times \frac{1}{100000}
Calculate 10 to the power of -5 and get \frac{1}{100000}.
4x+5-x\times \frac{1}{100000}=0
Subtract x\times \frac{1}{100000} from both sides.
\frac{399999}{100000}x+5=0
Combine 4x and -x\times \frac{1}{100000} to get \frac{399999}{100000}x.
\frac{399999}{100000}x=-5
Subtract 5 from both sides. Anything subtracted from zero gives its negation.
x=-5\times \frac{100000}{399999}
Multiply both sides by \frac{100000}{399999}, the reciprocal of \frac{399999}{100000}.
x=-\frac{500000}{399999}
Multiply -5 and \frac{100000}{399999} to get -\frac{500000}{399999}.
Examples
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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