-3x^2-33x-28=0

Simple and best practice solution for -3x^2-33x-28=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 -3x^2-33x-28=0 equation: 


Simplifying
-3x2 + -33x + -28 = 0

Reorder the terms:
-28 + -33x + -3x2 = 0

Solving
-28 + -33x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(28 + 33x + 3x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(28 + 33x + 3x2)' equal to zero and attempt to solve:

Simplifying
28 + 33x + 3x2 = 0

Solving
28 + 33x + 3x2 = 0

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

Divide each side by '3'.
9.333333333 + 11x + x2 = 0

Move the constant term to the right:

Add '-9.333333333' to each side of the equation.
9.333333333 + 11x + -9.333333333 + x2 = 0 + -9.333333333

Reorder the terms:
9.333333333 + -9.333333333 + 11x + x2 = 0 + -9.333333333

Combine like terms: 9.333333333 + -9.333333333 = 0.000000000
0.000000000 + 11x + x2 = 0 + -9.333333333
11x + x2 = 0 + -9.333333333

Combine like terms: 0 + -9.333333333 = -9.333333333
11x + x2 = -9.333333333

The x term is 11x.  Take half its coefficient (5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
11x + 30.25 + x2 = -9.333333333 + 30.25

Reorder the terms:
30.25 + 11x + x2 = -9.333333333 + 30.25

Combine like terms: -9.333333333 + 30.25 = 20.916666667
30.25 + 11x + x2 = 20.916666667

Factor a perfect square on the left side:
(x + 5.5)(x + 5.5) = 20.916666667

Calculate the square root of the right side: 4.573474245

Break this problem into two subproblems by setting 
(x + 5.5) equal to 4.573474245 and -4.573474245.


Subproblem 1
x + 5.5 = 4.573474245

Simplifying
x + 5.5 = 4.573474245

Reorder the terms:
5.5 + x = 4.573474245

Solving
5.5 + x = 4.573474245

Solving for variable 'x'.

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

Add '-5.5' to each side of the equation.
5.5 + -5.5 + x = 4.573474245 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + x = 4.573474245 + -5.5
x = 4.573474245 + -5.5

Combine like terms: 4.573474245 + -5.5 = -0.926525755
x = -0.926525755

Simplifying
x = -0.926525755


Subproblem 2
x + 5.5 = -4.573474245

Simplifying
x + 5.5 = -4.573474245

Reorder the terms:
5.5 + x = -4.573474245

Solving
5.5 + x = -4.573474245

Solving for variable 'x'.

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

Add '-5.5' to each side of the equation.
5.5 + -5.5 + x = -4.573474245 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + x = -4.573474245 + -5.5
x = -4.573474245 + -5.5

Combine like terms: -4.573474245 + -5.5 = -10.073474245
x = -10.073474245

Simplifying
x = -10.073474245


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.926525755, -10.073474245}
Solution
x = {-0.926525755, -10.073474245}

See similar equations:

| 12x^2+36x+27= | | 27f^2=12 | | -1+6x+x=34 | | 5x+3y=36 | | 6x-1+4x=-1 | | n^3-7n+4=0 | | 25+4.50n=56.50 | | 7-2x=29 | | 4-5x=24 | | 2y+7=14-5y | | 8+34x=-60 | | -6x-8=-44 | | 18x^2+24x-10= | | 7+3x+3x=-47 | | 65x^2+212x-133=0 | | x-(-20)+x(6)=55 | | (3a+6)(5a+10)=0 | | 5+5x=35 | | 18x^2+24-10= | | 2x^2-16x-17=0 | | -7(5-y)=21 | | x-(20)+x(6)=55 | | -6x-5=-11 | | 12x-4y=8 | | x+30=80 | | 2t^2-11t+15=0 | | -4x+10=-14 | | 2x-6x=32 | | 2w^2+19w+45=0 | | y=-0.5(3)+4 | | p^2+2p=5 | | 3q+2=5q-6 |

Equations solver categories