7+2[n-5]n=3.6

Simple and best practice solution for 7+2[n-5]n=3.6 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 7+2[n-5]n=3.6 equation:


Simplifying
7 + 2[n + -5] * n = 3.6

Reorder the terms:
7 + 2[-5 + n] * n = 3.6

Reorder the terms for easier multiplication:
7 + 2n[-5 + n] = 3.6
7 + [-5 * 2n + n * 2n] = 3.6
7 + [-10n + 2n2] = 3.6

Solving
7 + -10n + 2n2 = 3.6

Solving for variable 'n'.

Reorder the terms:
7 + -3.6 + -10n + 2n2 = 3.6 + -3.6

Combine like terms: 7 + -3.6 = 3.4
3.4 + -10n + 2n2 = 3.6 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
3.4 + -10n + 2n2 = 0.0

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

Divide each side by '2'.
1.7 + -5n + n2 = 0.0

Move the constant term to the right:

Add '-1.7' to each side of the equation.
1.7 + -5n + -1.7 + n2 = 0.0 + -1.7

Reorder the terms:
1.7 + -1.7 + -5n + n2 = 0.0 + -1.7

Combine like terms: 1.7 + -1.7 = 0.0
0.0 + -5n + n2 = 0.0 + -1.7
-5n + n2 = 0.0 + -1.7

Combine like terms: 0.0 + -1.7 = -1.7
-5n + n2 = -1.7

The n term is -5n.  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.
-5n + 6.25 + n2 = -1.7 + 6.25

Reorder the terms:
6.25 + -5n + n2 = -1.7 + 6.25

Combine like terms: -1.7 + 6.25 = 4.55
6.25 + -5n + n2 = 4.55

Factor a perfect square on the left side:
(n + -2.5)(n + -2.5) = 4.55

Calculate the square root of the right side: 2.133072901

Break this problem into two subproblems by setting 
(n + -2.5) equal to 2.133072901 and -2.133072901.

Subproblem 1

n + -2.5 = 2.133072901 Simplifying n + -2.5 = 2.133072901 Reorder the terms: -2.5 + n = 2.133072901 Solving -2.5 + n = 2.133072901 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + n = 2.133072901 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + n = 2.133072901 + 2.5 n = 2.133072901 + 2.5 Combine like terms: 2.133072901 + 2.5 = 4.633072901 n = 4.633072901 Simplifying n = 4.633072901

Subproblem 2

n + -2.5 = -2.133072901 Simplifying n + -2.5 = -2.133072901 Reorder the terms: -2.5 + n = -2.133072901 Solving -2.5 + n = -2.133072901 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + n = -2.133072901 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + n = -2.133072901 + 2.5 n = -2.133072901 + 2.5 Combine like terms: -2.133072901 + 2.5 = 0.366927099 n = 0.366927099 Simplifying n = 0.366927099

Solution

The solution to the problem is based on the solutions from the subproblems. n = {4.633072901, 0.366927099}

See similar equations:

| 9ac+6a= | | g+-2.5+7=4 | | f(x)=x+8ln(3x) | | b^2-b-20=20 | | -7n=70 | | 5xy^2-3x+2y^2+7x+13xy^2= | | 97-9x=-47 | | 10x^2+6x=4 | | 11x+39=x-61 | | (8)n=48 | | 8k-5k=2-6+6k+1 | | a-18=-15 | | 64-8k=72 | | 4x(3x-7)-19x^2= | | (6)m=45 | | -14=n-1 | | 6d+11=3d+47 | | -16+3k=-28 | | 7x+7=8x+31 | | 43=3c | | 10=p+10 | | X^3-6x^2=x-30 | | -21=a-1 | | 2x+78=4x+24 | | .75y+8=23 | | 7(3x+8)=107 | | 3(x)+4=10 | | 3(y+6)fory=2 | | .4x-2+.5x=-1.28 | | 69=18-29 | | f(x)=(x^2)+11x | | -4(-6x-1)-4x=1 |

Equations solver categories