3x^2-33x-42=0

Simple and best practice solution for 3x^2-33x-42=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-42=0 equation: 


Simplifying
3x2 + -33x + -42 = 0

Reorder the terms:
-42 + -33x + 3x2 = 0

Solving
-42 + -33x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-14 + -11x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-14 + -11x + x2)' equal to zero and attempt to solve:

Simplifying
-14 + -11x + x2 = 0

Solving
-14 + -11x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '14' to each side of the equation.
-14 + -11x + 14 + x2 = 0 + 14

Reorder the terms:
-14 + 14 + -11x + x2 = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -11x + x2 = 0 + 14
-11x + x2 = 0 + 14

Combine like terms: 0 + 14 = 14
-11x + x2 = 14

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 = 14 + 30.25

Reorder the terms:
30.25 + -11x + x2 = 14 + 30.25

Combine like terms: 14 + 30.25 = 44.25
30.25 + -11x + x2 = 44.25

Factor a perfect square on the left side:
(x + -5.5)(x + -5.5) = 44.25

Calculate the square root of the right side: 6.652067348

Break this problem into two subproblems by setting 
(x + -5.5) equal to 6.652067348 and -6.652067348.


Subproblem 1
x + -5.5 = 6.652067348

Simplifying
x + -5.5 = 6.652067348

Reorder the terms:
-5.5 + x = 6.652067348

Solving
-5.5 + x = 6.652067348

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 = 6.652067348 + 5.5

Combine like terms: -5.5 + 5.5 = 0.0
0.0 + x = 6.652067348 + 5.5
x = 6.652067348 + 5.5

Combine like terms: 6.652067348 + 5.5 = 12.152067348
x = 12.152067348

Simplifying
x = 12.152067348


Subproblem 2
x + -5.5 = -6.652067348

Simplifying
x + -5.5 = -6.652067348

Reorder the terms:
-5.5 + x = -6.652067348

Solving
-5.5 + x = -6.652067348

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 = -6.652067348 + 5.5

Combine like terms: -5.5 + 5.5 = 0.0
0.0 + x = -6.652067348 + 5.5
x = -6.652067348 + 5.5

Combine like terms: -6.652067348 + 5.5 = -1.152067348
x = -1.152067348

Simplifying
x = -1.152067348


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {12.152067348, -1.152067348}
Solution
x = {12.152067348, -1.152067348}

See similar equations:

| 100h^2+2h+1=0 | | 2X^2+5x-32=0 | | 2X^2-5x-32=0 | | -3.8y+3.7=-3.9 | | 9(3+4y)=2y-15 | | 2(9-k)+4=-4(k-2)-5 | | -6=1/3(x)-6 | | -13=-3u+10 | | 3x^2+4x-125=0 | | 4w^3-8w^2+8w=0 | | 40000-12.5x=0 | | 8p^2+5p=0 | | 6w^4-2w^3-20w^2=0 | | -3y+30=0 | | 8x-7=7x+1 | | 13=-7x-18 | | 2x+130=1x | | -8=1/4(x)-6 | | 2x+130=4x | | -2y-4=6 | | 2x+130=5x | | 2x+13=17x-3 | | 8x^6-36x^5+36x^4=0 | | y=1/4(20)-6 | | -2=2y+18 | | y=1/420-6 | | 13x+2=-175x | | 13=7y-10 | | 13x+2=175x | | -2p^2-4p+1=0 | | 13x+2=87x | | 8w+2=-8 |

Equations solver categories