2x^2-10x-24=0

Simple and best practice solution for 2x^2-10x-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^2-10x-24=0 equation: 


Simplifying
2x2 + -10x + -24 = 0

Reorder the terms:
-24 + -10x + 2x2 = 0

Solving
-24 + -10x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + -5x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-12 + -5x + x2)' equal to zero and attempt to solve:

Simplifying
-12 + -5x + x2 = 0

Solving
-12 + -5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '12' to each side of the equation.
-12 + -5x + 12 + x2 = 0 + 12

Reorder the terms:
-12 + 12 + -5x + x2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -5x + x2 = 0 + 12
-5x + x2 = 0 + 12

Combine like terms: 0 + 12 = 12
-5x + x2 = 12

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = 12 + 6.25

Reorder the terms:
6.25 + -5x + x2 = 12 + 6.25

Combine like terms: 12 + 6.25 = 18.25
6.25 + -5x + x2 = 18.25

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = 18.25

Calculate the square root of the right side: 4.272001873

Break this problem into two subproblems by setting 
(x + -2.5) equal to 4.272001873 and -4.272001873.


Subproblem 1
x + -2.5 = 4.272001873

Simplifying
x + -2.5 = 4.272001873

Reorder the terms:
-2.5 + x = 4.272001873

Solving
-2.5 + x = 4.272001873

Solving for variable 'x'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + x = 4.272001873 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = 4.272001873 + 2.5
x = 4.272001873 + 2.5

Combine like terms: 4.272001873 + 2.5 = 6.772001873
x = 6.772001873

Simplifying
x = 6.772001873


Subproblem 2
x + -2.5 = -4.272001873

Simplifying
x + -2.5 = -4.272001873

Reorder the terms:
-2.5 + x = -4.272001873

Solving
-2.5 + x = -4.272001873

Solving for variable 'x'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + x = -4.272001873 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = -4.272001873 + 2.5
x = -4.272001873 + 2.5

Combine like terms: -4.272001873 + 2.5 = -1.772001873
x = -1.772001873

Simplifying
x = -1.772001873


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.772001873, -1.772001873}
Solution
x = {6.772001873, -1.772001873}

See similar equations:

| Graphm+2n=4 | | 8x=104 | | M+2n=4 | | =(5/9)f-32 | | 2x^2+9x-200=0 | | 5x-8=2(x+4) | | (4k+9)(4k+9)= | | (4k+9)(4k-9)= | | 2(x+5)-4= | | x+3/4=-9/2 | | 6p+15-10p=-15 | | 2/3+1/3= | | -5x+5=-20 | | (4x+8)/2=-10 | | 4x+8/2=-10 | | 2x+7=4x-11 | | 92-9x=10x+17 | | -2+7w=10-w | | (x+9)(x+1)= | | -2+7=10-1 | | 5(x-3)=5x-6 | | 35t=105 | | 4/0.8= | | 3.4x+92=4.9x+38 | | 4x=4x-8 | | -x^2+x=6 | | -22=x+25 | | 2x+4z=18 | | 3x+13=-87-7x | | -10m-3=21 | | 7n^2+2=5n | | -5c-144=-29 |

Equations solver categories