n^2+18n=-62

Simple and best practice solution for n^2+18n=-62 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 n^2+18n=-62 equation:


Simplifying
n2 + 18n = -62

Reorder the terms:
18n + n2 = -62

Solving
18n + n2 = -62

Solving for variable 'n'.

Reorder the terms:
62 + 18n + n2 = -62 + 62

Combine like terms: -62 + 62 = 0
62 + 18n + n2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-62' to each side of the equation.
62 + 18n + -62 + n2 = 0 + -62

Reorder the terms:
62 + -62 + 18n + n2 = 0 + -62

Combine like terms: 62 + -62 = 0
0 + 18n + n2 = 0 + -62
18n + n2 = 0 + -62

Combine like terms: 0 + -62 = -62
18n + n2 = -62

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

Add '81' to each side of the equation.
18n + 81 + n2 = -62 + 81

Reorder the terms:
81 + 18n + n2 = -62 + 81

Combine like terms: -62 + 81 = 19
81 + 18n + n2 = 19

Factor a perfect square on the left side:
(n + 9)(n + 9) = 19

Calculate the square root of the right side: 4.358898944

Break this problem into two subproblems by setting 
(n + 9) equal to 4.358898944 and -4.358898944.

Subproblem 1

n + 9 = 4.358898944 Simplifying n + 9 = 4.358898944 Reorder the terms: 9 + n = 4.358898944 Solving 9 + n = 4.358898944 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + n = 4.358898944 + -9 Combine like terms: 9 + -9 = 0 0 + n = 4.358898944 + -9 n = 4.358898944 + -9 Combine like terms: 4.358898944 + -9 = -4.641101056 n = -4.641101056 Simplifying n = -4.641101056

Subproblem 2

n + 9 = -4.358898944 Simplifying n + 9 = -4.358898944 Reorder the terms: 9 + n = -4.358898944 Solving 9 + n = -4.358898944 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + n = -4.358898944 + -9 Combine like terms: 9 + -9 = 0 0 + n = -4.358898944 + -9 n = -4.358898944 + -9 Combine like terms: -4.358898944 + -9 = -13.358898944 n = -13.358898944 Simplifying n = -13.358898944

Solution

The solution to the problem is based on the solutions from the subproblems. n = {-4.641101056, -13.358898944}

See similar equations:

| 4y+2+4y-8=180 | | (6x+3af)(x+at)=0 | | y-3/4-1/5 | | 5-6(2+b)=-14 | | 4(-5-p)=-8 | | -2(w+5)+7=-13 | | 6x^2y^3z-12xy^2z^2+18x^2y^3z-30x^3y^3z^2= | | 3x+63+7x-45=180 | | 3y+9+8y-16=180 | | 4(x+4)+6=8x+6 | | 4(2x+5)-4=2x-5-x | | -8=8(x+8) | | 12/5 | | 3y-9=-2+5(y+7) | | -6m=6m-2 | | 3(3n+3)=3 | | 2y-4=y+3 | | Y=3x^3+7x^2-22x-8 | | (2x+3y^2)(x-2y^2)=0 | | 6x^2y^3z-12xy^2z^2+18x^2y^3-30x^3y^3z^2= | | p(x)=-15x^2+330x-815 | | 26-(x+7)=7x-5 | | 4.6=-log(H) | | (5n^2-8xy)(n^2+xy)=0 | | 6x+2x=90-4x | | 32sin^2(x)cos^4(x)=2+cos(2x)-2cos(4x)-cos(6x) | | 5(1-x)/6=4x | | F(11)= | | (n+tx)(7n+2tx)=o | | 32sin^2(x)cos^4(x)= | | E=(x+1)2+(x-1)2 | | 7(y-2)/4=-2y |

Equations solver categories