j^2+18j+7=0

Simple and best practice solution for j^2+18j+7=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 j^2+18j+7=0 equation: 


Simplifying
j2 + 18j + 7 = 0

Reorder the terms:
7 + 18j + j2 = 0

Solving
7 + 18j + j2 = 0

Solving for variable 'j'.

Begin completing the square.

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + 18j + -7 + j2 = 0 + -7

Reorder the terms:
7 + -7 + 18j + j2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 18j + j2 = 0 + -7
18j + j2 = 0 + -7

Combine like terms: 0 + -7 = -7
18j + j2 = -7

The j term is 18j.  Take half its coefficient (9).
Square it (81) and add it to both sides.

Add '81' to each side of the equation.
18j + 81 + j2 = -7 + 81

Reorder the terms:
81 + 18j + j2 = -7 + 81

Combine like terms: -7 + 81 = 74
81 + 18j + j2 = 74

Factor a perfect square on the left side:
(j + 9)(j + 9) = 74

Calculate the square root of the right side: 8.602325267

Break this problem into two subproblems by setting 
(j + 9) equal to 8.602325267 and -8.602325267.


Subproblem 1
j + 9 = 8.602325267

Simplifying
j + 9 = 8.602325267

Reorder the terms:
9 + j = 8.602325267

Solving
9 + j = 8.602325267

Solving for variable 'j'.

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

Add '-9' to each side of the equation.
9 + -9 + j = 8.602325267 + -9

Combine like terms: 9 + -9 = 0
0 + j = 8.602325267 + -9
j = 8.602325267 + -9

Combine like terms: 8.602325267 + -9 = -0.397674733
j = -0.397674733

Simplifying
j = -0.397674733


Subproblem 2
j + 9 = -8.602325267

Simplifying
j + 9 = -8.602325267

Reorder the terms:
9 + j = -8.602325267

Solving
9 + j = -8.602325267

Solving for variable 'j'.

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

Add '-9' to each side of the equation.
9 + -9 + j = -8.602325267 + -9

Combine like terms: 9 + -9 = 0
0 + j = -8.602325267 + -9
j = -8.602325267 + -9

Combine like terms: -8.602325267 + -9 = -17.602325267
j = -17.602325267

Simplifying
j = -17.602325267


Solution
The solution to the problem is based on the solutions
from the subproblems.
j = {-0.397674733, -17.602325267}

See similar equations:

| -13.3+k=7.071 | | a(x+1)=c(x+1) | | h^2+10h+25=-7 | | -25=5y+5 | | 6x-2x=1-1 | | 17x^3+28x^2-13x-2=0 | | 17.95= | | -0.75-2=0.25p+4 | | 2=ap | | 5(6x+3)=30x+15 | | 2-3[1-2(3x-2)]+4=3(2-x)-5 | | 9x-6(0)+3=0 | | 1926-2012= | | -40-2p=6(4-3p) | | x^2+-8x+12= | | -12x+-9+24x+4=55 | | 12x-3=29x-5 | | 8x+3x-5=17 | | 2(2n+1)=6(8n+3)+9 | | -21=7+4y | | 98-x=216 | | 8x+4=17x+6 | | x-25=-3x+43 | | -8+6x=-68 | | x-25=-3x | | 4(x-5)+15(x+9)= | | 180=53-w | | 3x=y+30 | | N^2-12n+36= | | 6x+10+8x=94 | | -2(u+4)=2u-4+2(3u+1) | | 65=3v+17 |

Equations solver categories