2x^2-6x-24=0

Simple and best practice solution for 2x^2-6x-24=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 2x^2-6x-24=0 equation: 


Simplifying
2x2 + -6x + -24 = 0

Reorder the terms:
-24 + -6x + 2x2 = 0

Solving
-24 + -6x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + -3x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-12 + -3x + x2)' equal to zero and attempt to solve:

Simplifying
-12 + -3x + x2 = 0

Solving
-12 + -3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '12' to each side of the equation.
-12 + -3x + 12 + x2 = 0 + 12

Reorder the terms:
-12 + 12 + -3x + x2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -3x + x2 = 0 + 12
-3x + x2 = 0 + 12

Combine like terms: 0 + 12 = 12
-3x + x2 = 12

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 = 12 + 2.25

Reorder the terms:
2.25 + -3x + x2 = 12 + 2.25

Combine like terms: 12 + 2.25 = 14.25
2.25 + -3x + x2 = 14.25

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = 14.25

Calculate the square root of the right side: 3.774917218

Break this problem into two subproblems by setting 
(x + -1.5) equal to 3.774917218 and -3.774917218.


Subproblem 1
x + -1.5 = 3.774917218

Simplifying
x + -1.5 = 3.774917218

Reorder the terms:
-1.5 + x = 3.774917218

Solving
-1.5 + x = 3.774917218

Solving for variable 'x'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + x = 3.774917218 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + x = 3.774917218 + 1.5
x = 3.774917218 + 1.5

Combine like terms: 3.774917218 + 1.5 = 5.274917218
x = 5.274917218

Simplifying
x = 5.274917218


Subproblem 2
x + -1.5 = -3.774917218

Simplifying
x + -1.5 = -3.774917218

Reorder the terms:
-1.5 + x = -3.774917218

Solving
-1.5 + x = -3.774917218

Solving for variable 'x'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + x = -3.774917218 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + x = -3.774917218 + 1.5
x = -3.774917218 + 1.5

Combine like terms: -3.774917218 + 1.5 = -2.274917218
x = -2.274917218

Simplifying
x = -2.274917218


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.274917218, -2.274917218}
Solution
x = {5.274917218, -2.274917218}

See similar equations:

| 3n+7-8n=34-11n+15 | | 10x=-39+89 | | -6z+8z=-5z-7+2z | | 7+6+x=4+9 | | 7.2/21.6=16.8/x | | 6(x-7)-10= | | 5[-2(3x+5)+4(4x-4)]= | | 11n=0 | | 8/9x+1=12 | | 2(x+3)+24= | | x=-22-5 | | x+5=-22-5 | | 3x^2=154 | | 3(5m+4)-4(m+5)= | | 2(x+7)+48=4x-2(x-3) | | -2(2x+4)=7x-5 | | -3(3q+8)= | | t^4+16.42t^2=204.55 | | 4(3x+20)=7y-35 | | -3(4t+7)= | | 12b^2=32+40b | | 5z-7z=9z+7+4z | | 5(2x-1)=9x+2 | | c^2-24-2c=0 | | s^2=200 | | 7/4y-13=-6 | | -8x=-18 | | -8=-18 | | 3(x+3)=33 | | x-3x+3= | | 6x^2+7x-98=0 | | 4r^2-7r-10=0 |

Equations solver categories