4x^2+12x+81=0

Simple and best practice solution for 4x^2+12x+81=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 4x^2+12x+81=0 equation:


Simplifying
4x2 + 12x + 81 = 0

Reorder the terms:
81 + 12x + 4x2 = 0

Solving
81 + 12x + 4x2 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
20.25 + 3x + x2 = 0

Move the constant term to the right:

Add '-20.25' to each side of the equation.
20.25 + 3x + -20.25 + x2 = 0 + -20.25

Reorder the terms:
20.25 + -20.25 + 3x + x2 = 0 + -20.25

Combine like terms: 20.25 + -20.25 = 0.00
0.00 + 3x + x2 = 0 + -20.25
3x + x2 = 0 + -20.25

Combine like terms: 0 + -20.25 = -20.25
3x + x2 = -20.25

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = -20.25 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -20.25 + 2.25

Combine like terms: -20.25 + 2.25 = -18
2.25 + 3x + x2 = -18

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = -18

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 2x^2+2x=15 | | 3a=15-2a | | y=-4+x | | 7y-5-y-3= | | 122-82x=2 | | -8(4+6p)+8(1-6p)=72 | | -8x-9=10-9x+12-x | | 6x-30=34-2x | | 5+49x=21x+37 | | -0.5=-0.25(c+7) | | 4x+7=56 | | 0=27+v-4(3+v) | | -4x-4y=-3 | | [x]=3.4 | | 7y-5fromy-3= | | 4-96x=148 | | (40-u-5(12-u))=0 | | 14+1.4x=8.4 | | 6(4-6x)+5(3-5+2x)=0 | | 4a+44=7a-4 | | 3+78=52x+19 | | 6r^2-2r-3=0 | | 6x^3-10=0 | | 4x-8=88-8x | | 9x(x)=7-5x | | 5x-1=2(3x+2) | | 96-4x=148 | | 7x+5=3x-27 | | t(n)=-5n+2 | | 3d+4=39 | | 4.9(4.9x-4)=-4x+5.3 | | -38=2(4x-3) |

Equations solver categories