# Solve for x 0.164x^2+0.004x-0.493=0

0.164×2+0.004x-0.493=0
Factor 0.001 out of 0.164×2+0.004x-0.493.
Factor 0.001 out of 0.164×2.
0.001(164×2)+0.004x-0.493=0
Factor 0.001 out of 0.004x.
0.001(164×2)+0.001(4x)-0.493=0
Factor 0.001 out of -0.493.
0.001(164×2)+0.001(4x)+0.001(-493)=0
Factor 0.001 out of 0.001(164×2)+0.001(4x).
0.001(164×2+4x)+0.001(-493)=0
Factor 0.001 out of 0.001(164×2+4x)+0.001(-493).
0.001(164×2+4x-493)=0
0.001(164×2+4x-493)=0
Divide each term by 0.001 and simplify.
Divide each term in 0.001(164×2+4x-493)=0 by 0.001.
0.001(164×2+4x-493)0.001=00.001
Cancel the common factor of 0.001.
164×2+4x-493=00.001
Divide 0 by 0.001.
164×2+4x-493=0
164×2+4x-493=0
Use the quadratic formula to find the solutions.
-b±b2-4(ac)2a
Substitute the values a=164, b=4, and c=-493 into the quadratic formula and solve for x.
-4±42-4⋅(164⋅-493)2⋅164
Simplify.
Simplify the numerator.
Raise 4 to the power of 2.
x=-4±16-4⋅(164⋅-493)2⋅164
Multiply 164 by -493.
x=-4±16-4⋅-808522⋅164
Multiply -4 by -80852.
x=-4±16+3234082⋅164
x=-4±3234242⋅164
Rewrite 323424 as 122⋅2246.
Factor 144 out of 323424.
x=-4±144(2246)2⋅164
Rewrite 144 as 122.
x=-4±122⋅22462⋅164
x=-4±122⋅22462⋅164
Pull terms out from under the radical.
x=-4±1222462⋅164
x=-4±1222462⋅164
Multiply 2 by 164.
x=-4±122246328
Simplify -4±122246328.
x=-1±3224682
x=-1±3224682
The final answer is the combination of both solutions.
x=-1-3224682,-1+3224682
The result can be shown in multiple forms.
Exact Form:
x=-1-3224682,-1+3224682
Decimal Form:
x=1.72165789…,-1.74604813…
Solve for x 0.164x^2+0.004x-0.493=0