Solve for m 2m^2-m=18

Math
2m2-m=18
Move 18 to the left side of the equation by subtracting it from both sides.
2m2-m-18=0
Use the quadratic formula to find the solutions.
-b±b2-4(ac)2a
Substitute the values a=2, b=-1, and c=-18 into the quadratic formula and solve for m.
1±(-1)2-4⋅(2⋅-18)2⋅2
Simplify.
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Simplify the numerator.
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Raise -1 to the power of 2.
m=1±1-4⋅(2⋅-18)2⋅2
Multiply 2 by -18.
m=1±1-4⋅-362⋅2
Multiply -4 by -36.
m=1±1+1442⋅2
Add 1 and 144.
m=1±1452⋅2
m=1±1452⋅2
Multiply 2 by 2.
m=1±1454
m=1±1454
The final answer is the combination of both solutions.
m=1+1454,1-1454
The result can be shown in multiple forms.
Exact Form:
m=1+1454,1-1454
Decimal Form:
m=3.26039864…,-2.76039864…
Solve for m 2m^2-m=18

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