18a^2+3a+61=0

Simple and best practice solution for 18a^2+3a+61=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 18a^2+3a+61=0 equation: 


Simplifying
18a2 + 3a + 61 = 0

Reorder the terms:
61 + 3a + 18a2 = 0

Solving
61 + 3a + 18a2 = 0

Solving for variable 'a'.

Begin completing the square.  Divide all terms by
18 the coefficient of the squared term: 

Divide each side by '18'.
3.388888889 + 0.1666666667a + a2 = 0

Move the constant term to the right:

Add '-3.388888889' to each side of the equation.
3.388888889 + 0.1666666667a + -3.388888889 + a2 = 0 + -3.388888889

Reorder the terms:
3.388888889 + -3.388888889 + 0.1666666667a + a2 = 0 + -3.388888889

Combine like terms: 3.388888889 + -3.388888889 = 0.000000000
0.000000000 + 0.1666666667a + a2 = 0 + -3.388888889
0.1666666667a + a2 = 0 + -3.388888889

Combine like terms: 0 + -3.388888889 = -3.388888889
0.1666666667a + a2 = -3.388888889

The a term is 0.1666666667a.  Take half its coefficient (0.08333333335).
Square it (0.006944444447) and add it to both sides.

Add '0.006944444447' to each side of the equation.
0.1666666667a + 0.006944444447 + a2 = -3.388888889 + 0.006944444447

Reorder the terms:
0.006944444447 + 0.1666666667a + a2 = -3.388888889 + 0.006944444447

Combine like terms: -3.388888889 + 0.006944444447 = -3.381944444553
0.006944444447 + 0.1666666667a + a2 = -3.381944444553

Factor a perfect square on the left side:
(a + 0.08333333335)(a + 0.08333333335) = -3.381944444553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 6r^2-25rs+4s^2=0 | | 3(x)-10=110 | | Y=40+3r | | (6a-6):12b^2:(a-1)/4b^3 | | 1.4-0.04x=5.207 | | 3(x)-1=110 | | A+5a+2a+3a= | | 2x^2+3y^2+12x-6y+21=0 | | n-12=-10 | | 48w^2+20w-42=0 | | 4-(5/7x)=x-2 | | 4-5/7x=x-2 | | 9x^2+16y^2+36x-64y-44=0 | | 4x-10=9x+9 | | 20r^2+23r+6=0 | | (2x)x=(0.25).8x | | 6b+5=3b-7 | | 7x+14-x=30 | | 3x-2x=5x-8 | | 2x-86.5=0 | | -9=1-4b+2 | | log(x-15)=-logx | | x^6+2x^4+6x^3+12x^2+5x+10=0 | | x^2+11x+8=-4 | | -1-4-4= | | (-5i)(6i)= | | f(x)=x^3+6x^2-36x | | 13-3/2z=37 | | w=f-7m | | dy/dx=(y-4x)^2 | | (7x^4)/(9)*(18)/(5x^7) | | 2+2p=4-1 |

Equations solver categories