2x^2-2x-24=936

Simple and best practice solution for 2x^2-2x-24=936 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^2-2x-24=936 equation: 


Simplifying
2x2 + -2x + -24 = 936

Reorder the terms:
-24 + -2x + 2x2 = 936

Solving
-24 + -2x + 2x2 = 936

Solving for variable 'x'.

Reorder the terms:
-24 + -936 + -2x + 2x2 = 936 + -936

Combine like terms: -24 + -936 = -960
-960 + -2x + 2x2 = 936 + -936

Combine like terms: 936 + -936 = 0
-960 + -2x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-480 + -1x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-480 + -1x + x2)' equal to zero and attempt to solve:

Simplifying
-480 + -1x + x2 = 0

Solving
-480 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '480' to each side of the equation.
-480 + -1x + 480 + x2 = 0 + 480

Reorder the terms:
-480 + 480 + -1x + x2 = 0 + 480

Combine like terms: -480 + 480 = 0
0 + -1x + x2 = 0 + 480
-1x + x2 = 0 + 480

Combine like terms: 0 + 480 = 480
-1x + x2 = 480

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = 480 + 0.25

Reorder the terms:
0.25 + -1x + x2 = 480 + 0.25

Combine like terms: 480 + 0.25 = 480.25
0.25 + -1x + x2 = 480.25

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = 480.25

Calculate the square root of the right side: 21.914607001

Break this problem into two subproblems by setting 
(x + -0.5) equal to 21.914607001 and -21.914607001.


Subproblem 1
x + -0.5 = 21.914607001

Simplifying
x + -0.5 = 21.914607001

Reorder the terms:
-0.5 + x = 21.914607001

Solving
-0.5 + x = 21.914607001

Solving for variable 'x'.

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + x = 21.914607001 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + x = 21.914607001 + 0.5
x = 21.914607001 + 0.5

Combine like terms: 21.914607001 + 0.5 = 22.414607001
x = 22.414607001

Simplifying
x = 22.414607001


Subproblem 2
x + -0.5 = -21.914607001

Simplifying
x + -0.5 = -21.914607001

Reorder the terms:
-0.5 + x = -21.914607001

Solving
-0.5 + x = -21.914607001

Solving for variable 'x'.

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + x = -21.914607001 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + x = -21.914607001 + 0.5
x = -21.914607001 + 0.5

Combine like terms: -21.914607001 + 0.5 = -21.414607001
x = -21.414607001

Simplifying
x = -21.414607001


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {22.414607001, -21.414607001}
Solution
x = {22.414607001, -21.414607001}

See similar equations:

| 9+e=20 | | 1.025x=x+15 | | 0=8y+24 | | 1/3a-1/4=5/6a-2/3 | | -2(-8-2y)-7= | | 5=2+2(x)(1) | | 3(z-5)=9 | | 14kg=Gm | | 4(2b-3)=2(b-3) | | 12+2a=3+7a+9 | | 2ab-5b= | | -3y+2x=4 | | 5-2.8=x | | -2a+(-10)=-26 | | 0.2(8x+20)=46 | | 3bc-9b= | | 14x-5= | | 3x-2(-9)=18 | | (x+2)+(x+11)= | | 6cx-cx= | | 12+2a+5a=3+7a+9 | | K=71.2 | | 4(3n-2)=2n+12 | | 26=6(5-q) | | -6b=-40 | | (x+10)+(x+1)= | | 3(x+2)=3x+17 | | 6bc-18b= | | 13p-18= | | 84x^2+294x=0 | | 7a+5= | | 19+3x=24-2x |

Equations solver categories