-2j^2+8j+8=0

Simple and best practice solution for -2j^2+8j+8=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 -2j^2+8j+8=0 equation: 


Simplifying
-2j2 + 8j + 8 = 0

Reorder the terms:
8 + 8j + -2j2 = 0

Solving
8 + 8j + -2j2 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 4j + -1j2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + 4j + -1j2)' equal to zero and attempt to solve:

Simplifying
4 + 4j + -1j2 = 0

Solving
4 + 4j + -1j2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-4 + -4j + j2 = 0

Move the constant term to the right:

Add '4' to each side of the equation.
-4 + -4j + 4 + j2 = 0 + 4

Reorder the terms:
-4 + 4 + -4j + j2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -4j + j2 = 0 + 4
-4j + j2 = 0 + 4

Combine like terms: 0 + 4 = 4
-4j + j2 = 4

The j term is -4j.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4j + 4 + j2 = 4 + 4

Reorder the terms:
4 + -4j + j2 = 4 + 4

Combine like terms: 4 + 4 = 8
4 + -4j + j2 = 8

Factor a perfect square on the left side:
(j + -2)(j + -2) = 8

Calculate the square root of the right side: 2.828427125

Break this problem into two subproblems by setting 
(j + -2) equal to 2.828427125 and -2.828427125.


Subproblem 1
j + -2 = 2.828427125

Simplifying
j + -2 = 2.828427125

Reorder the terms:
-2 + j = 2.828427125

Solving
-2 + j = 2.828427125

Solving for variable 'j'.

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

Add '2' to each side of the equation.
-2 + 2 + j = 2.828427125 + 2

Combine like terms: -2 + 2 = 0
0 + j = 2.828427125 + 2
j = 2.828427125 + 2

Combine like terms: 2.828427125 + 2 = 4.828427125
j = 4.828427125

Simplifying
j = 4.828427125


Subproblem 2
j + -2 = -2.828427125

Simplifying
j + -2 = -2.828427125

Reorder the terms:
-2 + j = -2.828427125

Solving
-2 + j = -2.828427125

Solving for variable 'j'.

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

Add '2' to each side of the equation.
-2 + 2 + j = -2.828427125 + 2

Combine like terms: -2 + 2 = 0
0 + j = -2.828427125 + 2
j = -2.828427125 + 2

Combine like terms: -2.828427125 + 2 = -0.828427125
j = -0.828427125

Simplifying
j = -0.828427125


Solution
The solution to the problem is based on the solutions
from the subproblems.
j = {4.828427125, -0.828427125}
Solution
j = {4.828427125, -0.828427125}

See similar equations:

| -7x+30=-2x | | 5x+8=7x-36 | | 6x-24=35 | | 2j^2+8j+8=0 | | -8k-2k=4-2k-4k | | 294630872364059723649582683475623847562984562845694856238945623894562389475628374562837456834756284756298347562893475623894756283475628347562384756238947563456=1 | | .75x=169.95 | | -2x-12=-6x-4 | | (X-1)+(x-1)= | | 9m-8=5m+4 | | 20+35+x=90 | | 7/2n-21=0 | | t-6t=-13+t-(-3) | | 6a-6=-7a+5+2a | | 4(-7x-8)=24 | | 3n-12=57 | | -4+-5y=-4 | | 12+2-x=90 | | 7+3v=x+v | | (13b+8)x(5b-15)=0 | | 1200=40x+1.5x | | 17u-7u-8u-u=9 | | 12k+23=83 | | X+83=113 | | 5(x+1)+6(x+2)=7(x-3) | | 15y+2y-16y=11 | | w^3-w^2-w+1=0 | | 7x-3=-13+x-1+5 | | -9-1=l | | 4.2f=12.4f-12.3 | | 0.9x-0.7y=6.1 | | 2x-1=3x-19 |

Equations solver categories