3x^2+27x+54=3

Simple and best practice solution for 3x^2+27x+54=3 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 3x^2+27x+54=3 equation: 


Simplifying
3x2 + 27x + 54 = 3

Reorder the terms:
54 + 27x + 3x2 = 3

Solving
54 + 27x + 3x2 = 3

Solving for variable 'x'.

Reorder the terms:
54 + -3 + 27x + 3x2 = 3 + -3

Combine like terms: 54 + -3 = 51
51 + 27x + 3x2 = 3 + -3

Combine like terms: 3 + -3 = 0
51 + 27x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(17 + 9x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(17 + 9x + x2)' equal to zero and attempt to solve:

Simplifying
17 + 9x + x2 = 0

Solving
17 + 9x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-17' to each side of the equation.
17 + 9x + -17 + x2 = 0 + -17

Reorder the terms:
17 + -17 + 9x + x2 = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 9x + x2 = 0 + -17
9x + x2 = 0 + -17

Combine like terms: 0 + -17 = -17
9x + x2 = -17

The x term is 9x.  Take half its coefficient (4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
9x + 20.25 + x2 = -17 + 20.25

Reorder the terms:
20.25 + 9x + x2 = -17 + 20.25

Combine like terms: -17 + 20.25 = 3.25
20.25 + 9x + x2 = 3.25

Factor a perfect square on the left side:
(x + 4.5)(x + 4.5) = 3.25

Calculate the square root of the right side: 1.802775638

Break this problem into two subproblems by setting 
(x + 4.5) equal to 1.802775638 and -1.802775638.


Subproblem 1
x + 4.5 = 1.802775638

Simplifying
x + 4.5 = 1.802775638

Reorder the terms:
4.5 + x = 1.802775638

Solving
4.5 + x = 1.802775638

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4.5' to each side of the equation.
4.5 + -4.5 + x = 1.802775638 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + x = 1.802775638 + -4.5
x = 1.802775638 + -4.5

Combine like terms: 1.802775638 + -4.5 = -2.697224362
x = -2.697224362

Simplifying
x = -2.697224362


Subproblem 2
x + 4.5 = -1.802775638

Simplifying
x + 4.5 = -1.802775638

Reorder the terms:
4.5 + x = -1.802775638

Solving
4.5 + x = -1.802775638

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4.5' to each side of the equation.
4.5 + -4.5 + x = -1.802775638 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + x = -1.802775638 + -4.5
x = -1.802775638 + -4.5

Combine like terms: -1.802775638 + -4.5 = -6.302775638
x = -6.302775638

Simplifying
x = -6.302775638


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-2.697224362, -6.302775638}
Solution
x = {-2.697224362, -6.302775638}

See similar equations:

| 0.5x=15 | | 5v=20 | | -2.25+0.15x=3 | | -5.9-9.489= | | solve-9(w+1)=2w-20 | | 20=t+1 | | 3x^2-x-2=8 | | -2.7-6.388= | | 21=r+4 | | -6(7x+4)=-444 | | 9k^2-18+8=0 | | 2x^2+10x+12=7 | | 3x+15=x-1 | | 6+3.50x=27 | | t-14=-10 | | -11=7N+4N | | -x^2-4x+2=0 | | 35+30x=185 | | 12x^2+12x-144=0 | | -3x^2+17x-20=0 | | 25w*w-20w+4=0 | | -7x^2+2x+9=0 | | -5(-8x+3)=255 | | 2y+3y+10=180 | | 2y+310=180 | | 40x-30(60+x)=-20(60) | | 11.932=3.14*x*x | | 7w-5=8w+15 | | 8.1+2.3=5.1-3.1 | | ln(2x-17)=4 | | w^2+4w+1=-3w-11 | | x^3+7x^2+15x=-9 |

Equations solver categories